<SEC-DOCUMENT>0000845877-18-000065.txt : 20180402
<SEC-HEADER>0000845877-18-000065.hdr.sgml : 20180402
<ACCEPTANCE-DATETIME>20180402164157
ACCESSION NUMBER:		0000845877-18-000065
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20180329
FILED AS OF DATE:		20180402
DATE AS OF CHANGE:		20180402

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			JUNKINS LOWELL
		CENTRAL INDEX KEY:			0001246115

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-14951
		FILM NUMBER:		18729527

	MAIL ADDRESS:	
		STREET 1:		C/O FARMER MAC
		STREET 2:		1999 K STREET, NW, 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_152270167951482.xml
<DESCRIPTION>FORM 4
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2018-03-29</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001246115</rptOwnerCik>
            <rptOwnerName>JUNKINS LOWELL</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O FARMER MAC</rptOwnerStreet1>
            <rptOwnerStreet2>1999 K STREET NW, 4TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>WASHINGTON</rptOwnerCity>
            <rptOwnerState>DC</rptOwnerState>
            <rptOwnerZipCode>20006</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Acting President &amp; CEO</officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class C Non-Voting Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2018-03-29</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>14</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>87.02</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>6213.232</value>
                    <footnoteId id="F2"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable></derivativeTable>

    <footnotes>
        <footnote id="F1">Shares were issued pursuant to the director's existing election to purchase, at market value, newly issued shares of the Federal Agricultural Mortgage Corporation's (&quot;Farmer Mac&quot;) Class C Non-Voting Common Stock in lieu of receiving some or all of the director's quarterly retainer in cash.  The market value is the closing price of the stock on March 29, 2018, the last trading day of the quarter, as reported by the New York Stock Exchange.</footnote>
        <footnote id="F2">Includes 635 restricted shares of Farmer Mac's Class C Non-Voting Common Stock that will vest on March 31, 2019 if the Reporting Person remains a director of Farmer Mac on that date.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Anjali Desai, as attorney-in-fact for Lowell Junkins</signatureName>
        <signatureDate>2018-04-02</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
