<SEC-DOCUMENT>0000845877-17-000144.txt : 20171002
<SEC-HEADER>0000845877-17-000144.hdr.sgml : 20171002
<ACCEPTANCE-DATETIME>20171002171736
ACCESSION NUMBER:		0000845877-17-000144
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		2
CONFORMED PERIOD OF REPORT:	20170929
FILED AS OF DATE:		20171002
DATE AS OF CHANGE:		20171002

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			Sherrick Bruce J
		CENTRAL INDEX KEY:			0001546653

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-14951
		FILM NUMBER:		171115334

	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_150697904311699.xml
<DESCRIPTION>FORM 4
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2017-09-29</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001546653</rptOwnerCik>
            <rptOwnerName>Sherrick Bruce J</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>2017-09-29</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>9</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>72.74</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>10710</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 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 September 29, 2017, the last business day of the quarter, as reported by the New York Stock Exchange.</footnote>
        <footnote id="F2">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>Christy M. Prendergast, as attorney-in-fact for Bruce J. Sherrick</signatureName>
        <signatureDate>2017-10-02</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 BRUCE J. SHERRICK
<TEXT>
<!-- Document created using WebFilings -->
<html>
<body>
<pre>
LIMITED POWER OF ATTORNEY

I, Bruce J. Sherrick, 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/ Bruce J. Sherrick
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
