<SEC-DOCUMENT>0000845877-17-000127.txt : 20170818
<SEC-HEADER>0000845877-17-000127.hdr.sgml : 20170818
<ACCEPTANCE-DATETIME>20170818162356
ACCESSION NUMBER:		0000845877-17-000127
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		2
CONFORMED PERIOD OF REPORT:	20170816
FILED AS OF DATE:		20170818
DATE AS OF CHANGE:		20170818

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			Engebretsen James R
		CENTRAL INDEX KEY:			0001437016

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-14951
		FILM NUMBER:		171041328

	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_150308782198217.xml
<DESCRIPTION>FORM 4
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2017-08-16</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001437016</rptOwnerCik>
            <rptOwnerName>Engebretsen James R</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>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class C Non-Voting Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2017-08-16</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>600</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>66.7025</value>
                    <footnoteId id="F2"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>10028</value>
                    <footnoteId id="F3"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable></derivativeTable>

    <footnotes>
        <footnote id="F1">Transaction effected during an open trading window for key employees and directors of the Federal Agricultural Mortgage Corporation (&quot;Farmer Mac&quot;).</footnote>
        <footnote id="F2">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 $66.41 to $66.96, 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="F3">Includes 869 restricted shares of Farmer Mac's Class C Non-Voting Common Stock that will vest on March 31, 2018 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 James R. Engebretsen</signatureName>
        <signatureDate>2017-08-18</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
<DOCUMENT>
<TYPE>EX-24
<SEQUENCE>2
<FILENAME>poa.htm
<DESCRIPTION>POWER OF ATTORNEY FOR: CHRISTY M. PRENDERGAST, AS ATTORNEY-IN-FACT FOR JAMES R. ENGEBRETSEN
<TEXT>
<!-- Document created using WebFilings -->
<html>
<body>
<pre>
LIMITED POWER OF ATTORNEY

I, James R. Engebretsen, 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/ James R. Engebretsen
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
