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Securities (Details 2) (USD $)
3 Months Ended 12 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Dec. 31, 2014
Securities      
Estimated remaining term 4 years 1 month 6 days    
Amortized Cost      
One to five years $ 1,935,000us-gaap_AvailableForSaleSecuritiesDebtMaturitiesRollingYearTwoThroughFiveAmortizedCostBasis    
Residential mortgage-backed 13,929,000us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateAmortizedCost    
Total 15,864,000us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis    
Fair Value      
One to five years 1,983,000us-gaap_AvailableForSaleSecuritiesDebtMaturitiesRollingYearTwoThroughFiveFairValue    
Residential mortgage-backed 14,503,000us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue    
Total 16,486,000us-gaap_AvailableForSaleSecuritiesDebtSecurities    
Securities pledged 1,200,000us-gaap_AvailableForSaleSecuritiesPledgedAsCollateral   1,200,000us-gaap_AvailableForSaleSecuritiesPledgedAsCollateral
Securities of any one issuer, other than U.S. Government, greater than 10% of shareholders equity 0byfc_AvailableForSaleSecuritiesOfAnyOneIssuerGreaterThanTenPercentOfShareholdersEquity   0byfc_AvailableForSaleSecuritiesOfAnyOneIssuerGreaterThanTenPercentOfShareholdersEquity
Shareholders equity representing a concentration risk for any one securities investment (as a percent) 10.00%byfc_ShareholdersEquityPercentageRepresentingConcentrationRiskForSecuritiesInvestment   10.00%byfc_ShareholdersEquityPercentageRepresentingConcentrationRiskForSecuritiesInvestment
Sales of securities $ 0us-gaap_AvailableForSaleSecuritiesGrossRealizedGainsLossesSaleProceeds $ 0us-gaap_AvailableForSaleSecuritiesGrossRealizedGainsLossesSaleProceeds