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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2016-03-15</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001654739</rptOwnerCik>
            <rptOwnerName>McCarthy Barry C</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>2016-03-15</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>17950</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>12.57</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>17950</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>206563</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 107,666 shares of restricted Class B common stock of the Issuer, including 20,337 of which will vest upon the expiration of the 180-day lock-up period in connection with the Issuer's initial public offering, 32,625 of which will vest on January 1, 2017 and 54,704 of which (i) 20% will vest upon the expiration of the 180-day lock-up period in connection with the Issuer's initial public offering, (ii) 40% will vest on January 1, 2017 and (iii) 40% will vest on January 1, 2018, subject to continued employment through the applicable vesting dates.</footnote>
    </footnotes>

    <remarks>Title - Executive Vice President, Head of Network &amp; Security Solutions</remarks>

    <ownerSignature>
        <signatureName>/s/ Stanley J. Andersen, by power of attorney</signatureName>
        <signatureDate>2016-03-17</signatureDate>
    </ownerSignature>
</ownershipDocument>
