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Loan Commitments and Other Related Activities (Details) (USD $)
In Thousands, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Commitments to make loans    
Loan commitments and other related activities Loan commitments and other related activities    
Contractual amounts of financial instruments - variable rate $ 1,000us-gaap_LoansAndLeasesReceivableCommitmentsVariableRates
/ us-gaap_FinancialInstrumentAxis
= us-gaap_CommitmentsToExtendCreditMember
$ 850us-gaap_LoansAndLeasesReceivableCommitmentsVariableRates
/ us-gaap_FinancialInstrumentAxis
= us-gaap_CommitmentsToExtendCreditMember
Commitments to make loans | Maximum    
Loan commitments and other related activities Loan commitments and other related activities    
Period for which loan commitments are made 60 days  
Commitments to make loans | Multi-family    
Loan commitments and other related activities Loan commitments and other related activities    
Number of loan commitments 1byfc_LoanCommitmentsNumber
/ us-gaap_FinancialInstrumentAxis
= us-gaap_CommitmentsToExtendCreditMember
/ us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis
= byfc_MultiFamilyResidentialLoanMember
 
Period for which initial interest rate is applicable 5 years  
Initial interest rate (as a percent) 3.375%byfc_LoansInterestRateStatedPercentage
/ us-gaap_FinancialInstrumentAxis
= us-gaap_CommitmentsToExtendCreditMember
/ us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis
= byfc_MultiFamilyResidentialLoanMember
 
Unused lines of credit    
Loan commitments and other related activities Loan commitments and other related activities    
Contractual amounts of financial instruments - variable rate $ 365us-gaap_LoansAndLeasesReceivableCommitmentsVariableRates
/ us-gaap_FinancialInstrumentAxis
= us-gaap_UnusedLinesOfCreditMember
$ 255us-gaap_LoansAndLeasesReceivableCommitmentsVariableRates
/ us-gaap_FinancialInstrumentAxis
= us-gaap_UnusedLinesOfCreditMember