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Note 13 - Benefit Plans (Details Textual) $ in Thousands		12 Months Ended
	Mar. 15, 2019	Dec. 31, 2023 USD ($)	Dec. 31, 2022 USD ($)
Defined Contribution Plan, Employer Matching Contribution, Percent of Match		1.00%
Defined Contribution Plan, Employer Matching Contribution for Employee's Contribution Between Two and Six Percent, Percent of Match		50.00%
Defined Contribution Plan, Service Hours Required by Eligible Employees to Receive Additional Contributions		1,000
Defined Contribution Plan, Minimum Age for Eligibility (Year)		19 years
Defined Contribution Plan, Employer Matching Contribution, Vesting Period (Year)		2 years
The 401(k) Plan [Member]
Defined Contribution Plan, Cost		$ 1,200	$ 1,200
Supplemental Employee Retirement Plan [Member]
Defined Contribution Plan, Cost		126	151
Defined Contribution Plan, Number of Employees	3
Defined Contribution Plan, Retirement Benefits Payable, Number of Monthly Payments	180
Liability, Retirement and Postemployment Benefits		$ 1,000	$ 894
Minimum [Member]
Defined Contribution Plan, Stated Percentage of Employees Contribution		2.00%
Maximum [Member]
Defined Contribution Plan, Stated Percentage of Employees Contribution		6.00%

X

- Definition

The percentage the employer matches of the employee's percentage contribution between two and six percent.

+ References

No definition available.

+ Details

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Namespace Prefix:	fxnc_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

X

- Definition

The period of time over which the employer's matching contributions vest under the benefit plan.

+ References

No definition available.

+ Details

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Namespace Prefix:	fxnc_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

X

- Definition

The minimum age an employee must be in order to participate in the benefit plan.

+ References

No definition available.

+ Details

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Namespace Prefix:	fxnc_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

X

- Definition

The number of fixed, monthly payments under the retirement benefit plan.

+ References

No definition available.

+ Details

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Namespace Prefix:	fxnc_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	duration

X

- Definition

The number of hours of service required by eligible employees in order to receive additional contributions from the employer under the benefit plan.

+ References

No definition available.

+ Details

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Namespace Prefix:	fxnc_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Represents state percentage of employees contribution for defined contribution plan.

+ References

No definition available.

+ Details

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Namespace Prefix:	fxnc_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Amount of cost for defined contribution plan.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 715
-SubTopic 70
-Name Accounting Standards Codification
-Section 50
-Paragraph 1
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147480794/715-70-50-1

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Definition

Percentage employer matches of the employee's percentage contribution matched.

+ References

No definition available.

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Number of employees eligible to participate in defined contribution plan.

+ References

No definition available.

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	instant

X

- Definition

Amount of liability, recognized in statement of financial position, for pension, other postretirement and postemployment benefits.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Topic 942
-SubTopic 210
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.9-03(15))
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147479853/942-210-S99-1

Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Topic 715
-SubTopic 20
-Section 45
-Paragraph 2
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147480535/715-20-45-2

Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Topic 715
-SubTopic 20
-Section 50
-Paragraph 1
-Subparagraph (c)
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147480506/715-20-50-1

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

X

- Details

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Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

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Data Type:	na
Balance Type:
Period Type:

X

- Details

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X

- Details

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