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Note 17 - Lease Commitments (Details Textual)	Dec. 31, 2023
Number of Leases	8
Leases With Option to Extend the Lease [Member]
Number of Leases	6

X

- Definition

Represents the number of leases.

+ References

No definition available.

+ Details

Name:	fxnc_NumberOfLeases
Namespace Prefix:	fxnc_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	instant

X

- Details

Name:	us-gaap_LeaseContractualTermAxis=fxnc_LeasesWithOptionToExtendTheLeaseMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: