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Leases - Additional Information (Detail) - USD ($)
3 Months Ended 9 Months Ended
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2019
Sep. 30, 2018
Jan. 01, 2019
Leases [Abstract]          
Rent expense for operating leases $ 357,000 $ 398,000 $ 1.1 $ 1.2  
Right of use lease asset $ 6,100,000   $ 6,100,000   $ 4,300,000
Operating Lease, Right-of-Use Asset, Statement of Financial Position [Extensible List] banf:AccruedInterestReceivableAndOtherAssetsMember   banf:AccruedInterestReceivableAndOtherAssetsMember    
Operating lease liability $ 6,100,000   $ 6,100,000   $ 4,300,000
Operating Lease, Liability, Statement of Financial Position [Extensible List] banf:AccruedInterestPayableAndOtherLiabilitiesMember   banf:AccruedInterestPayableAndOtherLiabilitiesMember    
Operating lease weighted-average remaining lease term 4 years 1 month 6 days   4 years 1 month 6 days    
Operating lease weighted-average discount rate 3.40%   3.40%    
Operating lease revenue $ 1,600,000   $ 4,700,000