<SEC-DOCUMENT>0000845877-17-000148.txt : 20171004
<SEC-HEADER>0000845877-17-000148.hdr.sgml : 20171004
<ACCEPTANCE-DATETIME>20171004161802
ACCESSION NUMBER:		0000845877-17-000148
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		2
CONFORMED PERIOD OF REPORT:	20171002
FILED AS OF DATE:		20171004
DATE AS OF CHANGE:		20171004

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			BUZBY TIMOTHY L
		CENTRAL INDEX KEY:			0001250221

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-14951
		FILM NUMBER:		171121828

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_150714826741387.xml
<DESCRIPTION>FORM 4
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2017-10-02</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001250221</rptOwnerCik>
            <rptOwnerName>BUZBY TIMOTHY L</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>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>President and CEO</officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class C Non-Voting Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2017-10-02</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>2324</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>72.8182</value>
                    <footnoteId id="F3"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>39660</value>
                    <footnoteId id="F4"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable></derivativeTable>

    <footnotes>
        <footnote id="F1">The shares sold represent the remaining net shares of the Federal Agricultural Mortgage Corporation's (&quot;Farmer Mac&quot;) Class C Non-Voting Common Stock that Mr. Buzby received in connection with the net share settlement of his exercise of 19,509 vested stock appreciation rights granted in June 2008 with a grant price of $28.94 per share that has been previously reported in Farmer Mac's prior filings with the Securities and Exchange Commission.</footnote>
        <footnote id="F2">Transaction effected pursuant to a trading plan adopted by Mr. Buzby in accordance with Rule 10b5-1.</footnote>
        <footnote id="F3">The price reported in Column 4 is a weighted average price. These shares of Class C Non-Voting Common Stock were sold in multiple transactions at prices ranging from $72.41 to $73.03, inclusive. The Reporting Person undertakes to provide to Farmer Mac, any security holder of Farmer Mac, or the staff of the Securities and Exchange Commission, upon request, full information regarding the number of shares sold at each separate price within the range set forth in this footnote to Form 4.</footnote>
        <footnote id="F4">Includes 28,815 shares of unvested restricted stock previously granted pursuant to Farmer Mac's 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>Christy M. Prendergast, as attorney-in-fact for Timothy L. Buzby</signatureName>
        <signatureDate>2017-10-04</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
<DOCUMENT>
<TYPE>EX-24
<SEQUENCE>2
<FILENAME>poa.htm
<DESCRIPTION>POWER OF ATTORNEY FOR: ANJALI DESAI, AS ATTORNEY-IN-FACT FOR TIMOTHY L. BUZBY
<TEXT>
<!-- Document created using WebFilings -->
<html>
<body>
<pre>
LIMITED POWER OF ATTORNEY

I, Timothy L. Buzby, do hereby grant power of attorney to each of Stephen P. Mullery, Christy M. Prendergast, and Anjali Desai for the sole purpose of filing Forms 3, 4, or 5 to report my transactions in Farmer Mac securities with the Securities and Exchange Commission as required by Section 16(b) of the Securities Exchange Act of 1934 and with the Farm Credit Administration (FCA) as required by regulations issued by the FCA.  This Limited Power of Attorney will remain in effect until revoked in writing by me.


Dated: December 6, 2012


Signature: /s/ Timothy L. Buzby
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
