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<!-- DFIN ActiveDisclosure(SM) XBRL Schema Document - http://www.dfinsolutions.com/ -->
<!-- Creation Date      : 2019-11-06T23:13:23.4618317+00:00 -->
<!-- Version            : 5.0.0.208 -->
<!-- Package ID         : 8b8570be169144758b497b98f9475f73 -->
<!-- Copyright (c) 2019 Donnelley Financial Solutions, Inc. All Rights Reserved. -->
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  <xsd:element id="bkgmf_IncreaseDecreaseInLeaseLiability" name="IncreaseDecreaseInLeaseLiability" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="bkgmf_HeldToMaturitySecuritiesChangeInNetUnrealizedHoldingGainLossNetOfTax" name="HeldToMaturitySecuritiesChangeInNetUnrealizedHoldingGainLossNetOfTax" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="bkgmf_AvailableForSaleSecuritiesChangeInNetUnrealizedGainLossNetOfTax" name="AvailableForSaleSecuritiesChangeInNetUnrealizedGainLossNetOfTax" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="bkgmf_InitialRecognitionOfRightOfUseAsset" name="InitialRecognitionOfRightOfUseAsset" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="bkgmf_SupplementalDisclosureOfCashFlowInformationAbstract" name="SupplementalDisclosureOfCashFlowInformationAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_OffBalanceSheetActivitiesTextBlock" name="OffBalanceSheetActivitiesTextBlock" type="nonnum:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_LeasesDisclosureTextBlock" name="LeasesDisclosureTextBlock" type="nonnum:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_ScheduleOfCreditLossRelatedToFinancingReceivablesCurrentAndNoncurrentTableTextBlock" name="ScheduleOfCreditLossRelatedToFinancingReceivablesCurrentAndNoncurrentTableTextBlock" type="nonnum:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_ScheduleOfNonAccrualLoansAndRestructuredLoansTableTextBlock" name="ScheduleOfNonAccrualLoansAndRestructuredLoansTableTextBlock" type="nonnum:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_FairValueAssetsMeasuredOnRecurringBasisValuationTechniquesTableTextBlock" name="FairValueAssetsMeasuredOnRecurringBasisValuationTechniquesTableTextBlock" type="nonnum:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_ScheduleOfSupplementalBalanceSheetInformationRelatedToLeasesTableTextBlock" name="ScheduleOfSupplementalBalanceSheetInformationRelatedToLeasesTableTextBlock" type="nonnum:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_ScheduleOfMaturitiesOfLeaseLiabilitiesUnderOperatingAndFinanceLeasesTableTextBlock" name="ScheduleOfMaturitiesOfLeaseLiabilitiesUnderOperatingAndFinanceLeasesTableTextBlock" type="nonnum:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_SummaryOfWeightedAverageLeaseTermAndDiscountRateTableTextBlock" name="SummaryOfWeightedAverageLeaseTermAndDiscountRateTableTextBlock" type="nonnum:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_BankBranchMember" name="BankBranchMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_ASCTrustCorporationMember" name="ASCTrustCorporationMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_RegulatoryAssetsAbstract" name="RegulatoryAssetsAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_SummaryOfSignificantAccountingPoliciesLineItems" name="SummaryOfSignificantAccountingPoliciesLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_SummaryOfSignificantAccountingPoliciesTable" name="SummaryOfSignificantAccountingPoliciesTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_BankOfGuamTrustDepartmentCustomerMember" name="BankOfGuamTrustDepartmentCustomerMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_BorrowerLoanProtectionProgramMember" name="BorrowerLoanProtectionProgramMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_WeightedAverageNumberOfCommonSharesOutstanding" name="WeightedAverageNumberOfCommonSharesOutstanding" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_USGovernmentAgencyAndGovernmentSponsoredEnterpriseDebtSecuritiesMember" name="USGovernmentAgencyAndGovernmentSponsoredEnterpriseDebtSecuritiesMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_SmallBusinessAdministrationPoolSecuritiesMember" name="SmallBusinessAdministrationPoolSecuritiesMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_MortgageBackedSecuritiesIssuedByGovernmentNationalMortgageAssociationGNMAMember" name="MortgageBackedSecuritiesIssuedByGovernmentNationalMortgageAssociationGNMAMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_UsGovernmentAgencySecuritiesIssuedByFNMAMember" name="UsGovernmentAgencySecuritiesIssuedByFNMAMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_AgencySecurityIssuedByFederalNationalMortgageAssociationMember" name="AgencySecurityIssuedByFederalNationalMortgageAssociationMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_MortgageBackedSecuritiesIssuedByFederalHomeLoanCorporationMember" name="MortgageBackedSecuritiesIssuedByFederalHomeLoanCorporationMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_AgencySecuritiesIssuedByFederalFarmCreditBanksMember" name="AgencySecuritiesIssuedByFederalFarmCreditBanksMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_ASCTrustLLCMember" name="ASCTrustLLCMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_EstimatedAverageRemainingLifeSecurities" name="EstimatedAverageRemainingLifeSecurities" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_NumberOfInvestmentSecuritiesInUnrealizedLossPositionWereNotOtherThanTemporarilyImpaired" name="NumberOfInvestmentSecuritiesInUnrealizedLossPositionWereNotOtherThanTemporarilyImpaired" type="xbrli:integerItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_StockPurchaseAgreementDate" name="StockPurchaseAgreementDate" type="xbrli:dateItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_PercentageOfNonControllingInterest" name="PercentageOfNonControllingInterest" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_LoansAndAllowanceForLoanLossesAbstract" name="LoansAndAllowanceForLoanLossesAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_CommercialMortgageFinancingReceivableMember" name="CommercialMortgageFinancingReceivableMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_CommercialAndIndustrialFinancingReceivableMember" name="CommercialAndIndustrialFinancingReceivableMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_ConsumerOtherFinancingReceivablesMember" name="ConsumerOtherFinancingReceivablesMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_NewLoanMember" name="NewLoanMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_SpecialMentionToPassMember" name="SpecialMentionToPassMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_PassToSpecialMentionMember" name="PassToSpecialMentionMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_PassToSubstandardMember" name="PassToSubstandardMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_FormulaMember" name="FormulaMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_TroubledDebtRestructuringMember" name="TroubledDebtRestructuringMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_BorrowingRelationshipOneMember" name="BorrowingRelationshipOneMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_BorrowingRelationshipTwoMember" name="BorrowingRelationshipTwoMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_PercentageOfIncreaseDecreaseInFinanceReceivables" name="PercentageOfIncreaseDecreaseInFinanceReceivables" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_UnpaidPrincipalBalancesOfMortgageLoansServicedForOthers" name="UnpaidPrincipalBalancesOfMortgageLoansServicedForOthers" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="bkgmf_PercentageOfLoanAggregateLoanPortfolio" name="PercentageOfLoanAggregateLoanPortfolio" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_PercentageOfLoanOnCommercialLoanPortfolio" name="PercentageOfLoanOnCommercialLoanPortfolio" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_PercentageOfLoanOnConsumerLoanPortfolio" name="PercentageOfLoanOnConsumerLoanPortfolio" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_CommercialAgriculturePortfolioSegmentMember" name="CommercialAgriculturePortfolioSegmentMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_ProvisionForLoanAndLeaseLossesExcludingReserveForOffBalanceSheetRisk" name="ProvisionForLoanAndLeaseLossesExcludingReserveForOffBalanceSheetRisk" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="bkgmf_AllowanceForLoanAndLeaseLossRecoveryOfProvisionForBadDebts" name="AllowanceForLoanAndLeaseLossRecoveryOfProvisionForBadDebts" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="bkgmf_RecordedInvestmentInLoansAndLeasesAbstract" name="RecordedInvestmentInLoansAndLeasesAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_ResidentialMortgageAndHomeEquityMember" name="ResidentialMortgageAndHomeEquityMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_ConsumerPortfolioOtherThanResidentialMortgagesMember" name="ConsumerPortfolioOtherThanResidentialMortgagesMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_AllowanceForLoansAndLeaseLossesProvisionForLossNetAbstract" name="AllowanceForLoansAndLeaseLossesProvisionForLossNetAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_FinancingReceivablesEqualToGreaterThan90DaysPastDueNonAccrualMember" name="FinancingReceivablesEqualToGreaterThan90DaysPastDueNonAccrualMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_FinancingReceivablesEqualToGreaterThan90DaysPastDueStillAccruingMember" name="FinancingReceivablesEqualToGreaterThan90DaysPastDueStillAccruingMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_AccrualOfInterestPaymentsOnLoan" name="AccrualOfInterestPaymentsOnLoan" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_NonaccrualStatusChargedOffOnLoan" name="NonaccrualStatusChargedOffOnLoan" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_LoanCollateralized" name="LoanCollateralized" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_AllLoansAndCreditCardsDelinquent" name="AllLoansAndCreditCardsDelinquent" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_RealEstateLoansDelinquent" name="RealEstateLoansDelinquent" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_DelinquentRealEstateLoansForeclosureCompletionPeriod" name="DelinquentRealEstateLoansForeclosureCompletionPeriod" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_PeriodForLoansDelinquentUnderFormulaCategory" name="PeriodForLoansDelinquentUnderFormulaCategory" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_MaximumValueOfCommercialLoansConsideredToIncludeInMonthlyFormulaClassifiedLoans" name="MaximumValueOfCommercialLoansConsideredToIncludeInMonthlyFormulaClassifiedLoans" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="bkgmf_LoansAndLeasesReceivableAdditionalDisbursements" name="LoansAndLeasesReceivableAdditionalDisbursements" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="bkgmf_LoansAndLeasesReceivablePaidOff" name="LoansAndLeasesReceivablePaidOff" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="bkgmf_TransferOfFinanceReceivablesFromSpecialMentionToCategoryDueToUpgradeOfLoanRelationship" name="TransferOfFinanceReceivablesFromSpecialMentionToCategoryDueToUpgradeOfLoanRelationship" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="bkgmf_FinanceReceivablePayOffDueToChangeInCategoryRelationship" name="FinanceReceivablePayOffDueToChangeInCategoryRelationship" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="bkgmf_TransferOfFinanceReceivablesFromSpecialMentionToCategoryDueToReclassification" name="TransferOfFinanceReceivablesFromSpecialMentionToCategoryDueToReclassification" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="bkgmf_FinanceReceivablePayDownDueToChangeInCategoryRelationship" name="FinanceReceivablePayDownDueToChangeInCategoryRelationship" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="bkgmf_TransferOfFinanceReceivablesFromSpecialMentionToCategoryDueToDowngradeOfLoanRelationship" name="TransferOfFinanceReceivablesFromSpecialMentionToCategoryDueToDowngradeOfLoanRelationship" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="bkgmf_TransferOfFinanceReceivablesFromSubstandardCategoryDueToReclassification" name="TransferOfFinanceReceivablesFromSubstandardCategoryDueToReclassification" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="bkgmf_TransferOfFinanceReceivablesFromSubstandardToCategoryDueToDowngradeOfLoanRelationship" name="TransferOfFinanceReceivablesFromSubstandardToCategoryDueToDowngradeOfLoanRelationship" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="bkgmf_TransferOfFinanceReceivablesFromSubstandardToCategoryDueToUpgradeOfLoanRelationship" name="TransferOfFinanceReceivablesFromSubstandardToCategoryDueToUpgradeOfLoanRelationship" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="bkgmf_TransferOfFinanceReceivablesFromDoubtfulCategoryDueToReclassification" name="TransferOfFinanceReceivablesFromDoubtfulCategoryDueToReclassification" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="bkgmf_TroubledDebtRestructuringsAbstract" name="TroubledDebtRestructuringsAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_FinancingReceivablesImpairedNonAccruingTroubledDebtRestructuring" name="FinancingReceivablesImpairedNonAccruingTroubledDebtRestructuring" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="bkgmf_FinancingReceivablesImpairedAccruingTroubledDebtRestructuring" name="FinancingReceivablesImpairedAccruingTroubledDebtRestructuring" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="bkgmf_ImpairedLoansLessThanNinetyDaysDelinquentAndIncludedInImpairedLoans" name="ImpairedLoansLessThanNinetyDaysDelinquentAndIncludedInImpairedLoans" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="bkgmf_ImpairedFinancingReceivableWithRelatedAllowanceInterestIncomeExpenseAndUnearnedDiscountAccrualMethod" name="ImpairedFinancingReceivableWithRelatedAllowanceInterestIncomeExpenseAndUnearnedDiscountAccrualMethod" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="bkgmf_FinancingReceivablePrincipalModificationRecordedInvestment" name="FinancingReceivablePrincipalModificationRecordedInvestment" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="bkgmf_NumberOfBorrowingRelationshipInBankruptcy" name="NumberOfBorrowingRelationshipInBankruptcy" type="xbrli:integerItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_AllowanceForLoanAndLeaseLossesSpecificReserve" name="AllowanceForLoanAndLeaseLossesSpecificReserve" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="bkgmf_TierOneCommonEquityToRiskWeightedAssetsMinimum" name="TierOneCommonEquityToRiskWeightedAssetsMinimum" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_MinimumNonRiskBasedLeverageRatio" name="MinimumNonRiskBasedLeverageRatio" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_MinimumNonRiskBasedLeverageRatioForHigherRatedBank" name="MinimumNonRiskBasedLeverageRatioForHigherRatedBank" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_CapitalConservationBuffer" name="CapitalConservationBuffer" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_CapitalConservationBufferPhaseInAmount" name="CapitalConservationBufferPhaseInAmount" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_NumberOfPeriodAssignedForNonAccrualStatusForHigherRiskWeightingToExposure" name="NumberOfPeriodAssignedForNonAccrualStatusForHigherRiskWeightingToExposure" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_PermittedCompositionForTierOneCapitalConsolidatedAssetsValue" name="PermittedCompositionForTierOneCapitalConsolidatedAssetsValue" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="bkgmf_PermittedCompositionForTierOneCapitalForeignExposures" name="PermittedCompositionForTierOneCapitalForeignExposures" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="bkgmf_BaselThreeMember" name="BaselThreeMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_TwoThousandElevenPlanMember" name="TwoThousandElevenPlanMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_TierOneCommonEquityCapital" name="TierOneCommonEquityCapital" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="bkgmf_TierOneCommonEquityToRiskWeightedAssets" name="TierOneCommonEquityToRiskWeightedAssets" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_TierOneCommonEquityRequiredForCapitalAdequacy" name="TierOneCommonEquityRequiredForCapitalAdequacy" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="bkgmf_TierOneCommonEquityRequiredForCapitalAdequacyToRiskWeightedAssets" name="TierOneCommonEquityRequiredForCapitalAdequacyToRiskWeightedAssets" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_TierOneCommonEquityCapitalRequiredToBeWellCapitalized" name="TierOneCommonEquityCapitalRequiredToBeWellCapitalized" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="bkgmf_TierOneCommonEquityCapitalRequiredToBeWellCapitalizedToRiskWeightedAssets" name="TierOneCommonEquityCapitalRequiredToBeWellCapitalizedToRiskWeightedAssets" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_ShareBasedCompensationArrangementByShareBasedPaymentRightToPurchaseStockToMaximumAmount" name="ShareBasedCompensationArrangementByShareBasedPaymentRightToPurchaseStockToMaximumAmount" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="bkgmf_ShareBasedCompensationArrangementByShareBasedPaymentRightToPurchaseStockToMaximumShares" name="ShareBasedCompensationArrangementByShareBasedPaymentRightToPurchaseStockToMaximumShares" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_FixedToFloatingRateConversionDate" name="FixedToFloatingRateConversionDate" type="xbrli:dateItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_PreferredStockBasisSpreadOnDividendRatePercentage" name="PreferredStockBasisSpreadOnDividendRatePercentage" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_CommercialLettersOfCreditMember" name="CommercialLettersOfCreditMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_LettersOfCreditExpirationDateMaximum" name="LettersOfCreditExpirationDateMaximum" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_GuaranteeMaturityMaximum" name="GuaranteeMaturityMaximum" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_USTreasuryNotesAndBondsMember" name="USTreasuryNotesAndBondsMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_USGovernmentAgenciesAndSponsoredEnterprisesDebtSecuritiesMember" name="USGovernmentAgenciesAndSponsoredEnterprisesDebtSecuritiesMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_DebtSecuritiesExcludingMortgageServicingRightsMember" name="DebtSecuritiesExcludingMortgageServicingRightsMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_MortgageServicingRightsMember" name="MortgageServicingRightsMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossAbstract" name="FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_DiscountedCashFlowValuationTechniqueMember" name="DiscountedCashFlowValuationTechniqueMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_FairValueMeasurementsUnobservableInputs" name="FairValueMeasurementsUnobservableInputs" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_OtherRealEstateOwnedMember" name="OtherRealEstateOwnedMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_ChangeInFairValueNonFinancialAssetsLiabilities" name="ChangeInFairValueNonFinancialAssetsLiabilities" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="bkgmf_FederalFundsPurchasedAndFHLBAdvancesToBeTreatedAsShortTermBorrowingsMaturityPeriod" name="FederalFundsPurchasedAndFHLBAdvancesToBeTreatedAsShortTermBorrowingsMaturityPeriod" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_FairValueOfFHLBAdvancesMaturityPeriod" name="FairValueOfFHLBAdvancesMaturityPeriod" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_AssetsCarryingValueDisclosure" name="AssetsCarryingValueDisclosure" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="bkgmf_LiabilitiesCarryingValueDisclosure" name="LiabilitiesCarryingValueDisclosure" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="bkgmf_OtherComprehensiveIncomeLossFromHeldToMaturityToAvailableForSaleSecuritiesNetOfTax" name="OtherComprehensiveIncomeLossFromHeldToMaturityToAvailableForSaleSecuritiesNetOfTax" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="bkgmf_LeaseLineItems" name="LeaseLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_LeaseTable" name="LeaseTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_BankFacilityLeaseMember" name="BankFacilityLeaseMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_LeaseAsset" name="LeaseAsset" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="bkgmf_LeaseLiabilityPaymentsDue" name="LeaseLiabilityPaymentsDue" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="bkgmf_LeaseLiabilitiesPaymentsDueAbstract" name="LeaseLiabilitiesPaymentsDueAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_OperatingLeasePaymentsRelatedToOptionsToExtendLease" name="OperatingLeasePaymentsRelatedToOptionsToExtendLease" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="bkgmf_RevenueFromContractWithCustomerExcludingAssessedTaxPercentage" name="RevenueFromContractWithCustomerExcludingAssessedTaxPercentage" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="bkgmf_RevenueRecognitionLineItems" name="RevenueRecognitionLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_RevenueRecognitionTable" name="RevenueRecognitionTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_ServiceChargesOnDepositAccountsMember" name="ServiceChargesOnDepositAccountsMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_OnlineFeesMember" name="OnlineFeesMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="bkgmf_ThreeMonthLIBORMember" name="ThreeMonthLIBORMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
</xsd:schema>
