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Condensed Parent Company Financial Statements- Summary of Income Statement of Parent Company (Detail) (USD $)
In Thousands, unless otherwise specified
3 Months Ended 12 Months Ended
Dec. 31, 2014
Sep. 30, 2014
Jun. 30, 2014
Mar. 31, 2014
Dec. 31, 2013
Sep. 30, 2013
Jun. 30, 2013
Mar. 31, 2013
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
OPERATING INCOME                      
Interest on interest-bearing deposits                 $ 4,391us-gaap_InterestIncomeDepositsWithFinancialInstitutions $ 4,064us-gaap_InterestIncomeDepositsWithFinancialInstitutions $ 4,201us-gaap_InterestIncomeDepositsWithFinancialInstitutions
OPERATING EXPENSE                      
Other                 36,407us-gaap_OtherNoninterestExpense 32,823us-gaap_OtherNoninterestExpense 32,832us-gaap_OtherNoninterestExpense
Income before taxes                 91,171us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments 80,842us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments 79,004us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments
Allocated income tax benefit                 (27,284)us-gaap_IncomeTaxExpenseBenefit (26,525)us-gaap_IncomeTaxExpenseBenefit (27,104)us-gaap_IncomeTaxExpenseBenefit
Amortization of stock-based compensation arrangements of subsidiaries                 (1,676)us-gaap_ShareBasedCompensation (1,360)us-gaap_ShareBasedCompensation (1,530)us-gaap_ShareBasedCompensation
Net income 15,749us-gaap_NetIncomeLoss 18,793us-gaap_NetIncomeLoss 14,688us-gaap_NetIncomeLoss 14,657us-gaap_NetIncomeLoss 13,861us-gaap_NetIncomeLoss 14,491us-gaap_NetIncomeLoss 12,593us-gaap_NetIncomeLoss 13,372us-gaap_NetIncomeLoss 63,887us-gaap_NetIncomeLoss 54,317us-gaap_NetIncomeLoss 51,900us-gaap_NetIncomeLoss
Parent Company [Member]                      
OPERATING INCOME                      
Dividends from subsidiaries                 24,851us-gaap_CashDividendsPaidToParentCompanyByConsolidatedSubsidiaries
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
22,612us-gaap_CashDividendsPaidToParentCompanyByConsolidatedSubsidiaries
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
20,784us-gaap_CashDividendsPaidToParentCompanyByConsolidatedSubsidiaries
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Interest on interest-bearing deposits                 62us-gaap_InterestIncomeDepositsWithFinancialInstitutions
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
47us-gaap_InterestIncomeDepositsWithFinancialInstitutions
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
57us-gaap_InterestIncomeDepositsWithFinancialInstitutions
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Other                 14us-gaap_NoninterestIncomeOtherOperatingIncome
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
92us-gaap_NoninterestIncomeOtherOperatingIncome
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
 
Total operating income                 24,927us-gaap_Revenues
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
22,751us-gaap_Revenues
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
20,841us-gaap_Revenues
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
OPERATING EXPENSE                      
Interest                 1,965us-gaap_InterestExpenseBorrowings
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
1,965us-gaap_InterestExpenseBorrowings
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
2,134us-gaap_InterestExpenseBorrowings
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Other                 667us-gaap_OtherNoninterestExpense
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
661us-gaap_OtherNoninterestExpense
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
942us-gaap_OtherNoninterestExpense
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Total operating expense                 2,632us-gaap_OperatingExpenses
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
2,626us-gaap_OperatingExpenses
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
3,076us-gaap_OperatingExpenses
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Income before taxes                 22,295us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
20,125us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
17,765us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Allocated income tax benefit                 472us-gaap_IncomeTaxExpenseBenefit
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
978us-gaap_IncomeTaxExpenseBenefit
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
1,371us-gaap_IncomeTaxExpenseBenefit
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Income before equity in undistributed earnings of subsidiaries                 22,767banf_IncomeBeforeEquityInUndistributedEarningsOfSubsidiaries
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
21,103banf_IncomeBeforeEquityInUndistributedEarningsOfSubsidiaries
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
19,136banf_IncomeBeforeEquityInUndistributedEarningsOfSubsidiaries
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Equity in undistributed earnings of subsidiaries                 42,196us-gaap_EquityMethodInvestmentSummarizedFinancialInformationNetIncomeLoss
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
34,351us-gaap_EquityMethodInvestmentSummarizedFinancialInformationNetIncomeLoss
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
34,281us-gaap_EquityMethodInvestmentSummarizedFinancialInformationNetIncomeLoss
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Amortization of stock-based compensation arrangements of subsidiaries                 (1,076)us-gaap_ShareBasedCompensation
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
(1,137)us-gaap_ShareBasedCompensation
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
(1,517)us-gaap_ShareBasedCompensation
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Net income                 $ 63,887us-gaap_NetIncomeLoss
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
$ 54,317us-gaap_NetIncomeLoss
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
$ 51,900us-gaap_NetIncomeLoss
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember