<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2016-04-11</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000883980</issuerCik>
        <issuerName>FIRST DATA CORP</issuerName>
        <issuerTradingSymbol>FDC</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001473587</rptOwnerCik>
            <rptOwnerName>Foskett Christopher M</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O FIRST DATA CORPORATION</rptOwnerStreet1>
            <rptOwnerStreet2>225 LIBERTY STREET, 29TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10281</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>See Remarks</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Class B Common Stock</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F1"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2016-04-11</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>F</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F2"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>66279</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>12.13</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F1"/>
                <footnoteId id="F3"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F1"/>
                <footnoteId id="F3"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class A Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>66279</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>122660</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Shares of Class B common stock of First Data Corporation (the &quot;Issuer&quot;) are convertible into shares of Class A common stock of the Issuer on a one-for-one basis at any time at the option of the holder with the prior written consent of the Issuer, automatically upon transfer, with certain exceptions, and upon certain other events.</footnote>
        <footnote id="F2">Represents shares withheld to pay tax obligations in connection with the vesting of restricted stock awards.</footnote>
        <footnote id="F3">Includes 174,879 shares of restricted Class B common stock of the Issuer, including 56,243 of which will vest in two equal installments on January 1, 2017 and January 1, 2018, subject to continued employment through the applicable vesting dates. 118,636 additional shares of restricted Class B common stock of the Issuer vested on April 11,2016 which were originally scheduled to vest on January 1, 2017.</footnote>
    </footnotes>

    <remarks>Title - Executive Vice President, Head of Corporate and Business Development</remarks>

    <ownerSignature>
        <signatureName>/s/ Gretchen A. Herron, by power of attorney</signatureName>
        <signatureDate>2016-04-13</signatureDate>
    </ownerSignature>
</ownershipDocument>
