<SEC-DOCUMENT>0000845877-18-000070.txt : 20180403
<SEC-HEADER>0000845877-18-000070.hdr.sgml : 20180403
<ACCEPTANCE-DATETIME>20180403164628
ACCESSION NUMBER:		0000845877-18-000070
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20180331
FILED AS OF DATE:		20180403
DATE AS OF CHANGE:		20180403

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			Covington John Curtis
		CENTRAL INDEX KEY:			0001629451

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-14951
		FILM NUMBER:		18734094

	MAIL ADDRESS:	
		STREET 1:		C/O FARMER MAC, 1999 K STREET, NW
		STREET 2:		4TH FLOOR
		CITY:			WASHINGTON
		STATE:			DC
		ZIP:			20006

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			FEDERAL AGRICULTURAL MORTGAGE CORP
		CENTRAL INDEX KEY:			0000845877
		STANDARD INDUSTRIAL CLASSIFICATION:	FEDERAL & FEDERALLY-SPONSORED CREDIT AGENCIES [6111]
		IRS NUMBER:				521578738
		FISCAL YEAR END:			1231

	BUSINESS ADDRESS:	
		STREET 1:		1999 K STREET NW,
		STREET 2:		4TH FLOOR
		CITY:			WASHINGTON
		STATE:			DC
		ZIP:			20006
		BUSINESS PHONE:		2028727700

	MAIL ADDRESS:	
		STREET 1:		1999 K STREET NW,
		STREET 2:		4TH FLOOR
		CITY:			WASHINGTON
		STATE:			DC
		ZIP:			20006
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>wf-form4_152278835412736.xml
<DESCRIPTION>FORM 4
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2018-03-31</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000845877</issuerCik>
        <issuerName>FEDERAL AGRICULTURAL MORTGAGE CORP</issuerName>
        <issuerTradingSymbol>AGM</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001629451</rptOwnerCik>
            <rptOwnerName>Covington John Curtis</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O 1999 K STREET NW</rptOwnerStreet1>
            <rptOwnerStreet2>4TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>WASHINGTON</rptOwnerCity>
            <rptOwnerState>DC</rptOwnerState>
            <rptOwnerZipCode>20006</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>SVP - Agricultural Finance</officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class C Non-Voting Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2018-03-31</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>F</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>2700</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>87.02</value>
                    <footnoteId id="F2"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>16401</value>
                    <footnoteId id="F3"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable></derivativeTable>

    <footnotes>
        <footnote id="F1">On March 31, 2018, (i) 2,310 shares of restricted stock vested that were granted in April 2015, upon the Federal Agricultural Mortgage Corporation's (&quot;Farmer Mac&quot;) achievement of certain performance objectives related to portfolio charge-offs and delinquencies, as specified in the related award agreement, for which Farmer Mac retained 996 shares to satisfy withholding requirements, (ii) 1,540 shares of restricted stock vested as the third installment of the time-based award granted in April 2015, for which Farmer Mac retained 664 shares to satisfy withholding requirements, (iii) 1,554 shares of restricted stock vested as the second installment of the time-based award granted in March 2016, for which Farmer Mac retained 670 shares to satisfy withholding requirements, and (iv) 858 shares of restricted stock vested as the first installment of the time-based award granted in March 2017, for which Farmer Mac retained 370 shares to satisfy withholding requirements.</footnote>
        <footnote id="F2">In accordance with a policy adopted by the Compensation Committee of Farmer Mac's Board of Directors, the price used for the calculation of the number of shares withheld by Farmer Mac in satisfaction of tax liability is the closing price of Farmer Mac's Class C Non-Voting Common Stock on the New York Stock Exchange on the last trading day before the vesting date.</footnote>
        <footnote id="F3">Includes 9,708 shares of unvested restricted stock previously granted pursuant to Farmer Mac's Amended and Restated 2008 Omnibus Incentive Plan.  The grants of restricted stock have been described in detail in Farmer Mac's prior filings with the Securities and Exchange Commission.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Anjali Desai, as attorney-in-fact for John Curtis Covington</signatureName>
        <signatureDate>2018-04-03</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
