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Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
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MIC-Info: RSA-MD5,RSA,
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 ZlqxBZV2yEbME789hZCKDQ==

<SEC-DOCUMENT>0001209191-04-034497.txt : 20040702
<SEC-HEADER>0001209191-04-034497.hdr.sgml : 20040702
<ACCEPTANCE-DATETIME>20040702154325
ACCESSION NUMBER:		0001209191-04-034497
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20040701
FILED AS OF DATE:		20040702

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			KING RICHARD G
		CENTRAL INDEX KEY:			0001245776

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-09861
		FILM NUMBER:		04899833

	BUSINESS ADDRESS:	
		STREET 1:		C/O M&T BANK CORP
		STREET 2:		ONE M&T PLAZA
		CITY:			BUFFALO
		STATE:			NY
		ZIP:			14203
		BUSINESS PHONE:		7168425445

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			M&T BANK CORP
		CENTRAL INDEX KEY:			0000036270
		STANDARD INDUSTRIAL CLASSIFICATION:	STATE COMMERCIAL BANKS [6022]
		IRS NUMBER:				160968385
		STATE OF INCORPORATION:			NY
		FISCAL YEAR END:			1231

	BUSINESS ADDRESS:	
		STREET 1:		C/O CORPORATE REPORTING
		STREET 2:		ONE M&T PLAZA 5TH FLOOR
		CITY:			BUFFALO
		STATE:			NY
		ZIP:			14203
		BUSINESS PHONE:		7168425390

	MAIL ADDRESS:	
		STREET 1:		C/O CORPORAE REPORTING
		STREET 2:		ONE M&T PLAZA 5TH FLR
		CITY:			BUFFALO
		STATE:			NY
		ZIP:			14203

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	FIRST EMPIRE STATE CORP
		DATE OF NAME CHANGE:	19920703
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>doc4.xml
<DESCRIPTION>FORM 4 SUBMISSION
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0202</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2004-07-01</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000036270</issuerCik>
        <issuerName>M&amp;T BANK CORP</issuerName>
        <issuerTradingSymbol>MTB</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001245776</rptOwnerCik>
            <rptOwnerName>KING RICHARD G</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>900 HIGH STREET</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>HANOVER</rptOwnerCity>
            <rptOwnerState>PA</rptOwnerState>
            <rptOwnerZipCode>17331-1639</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2004-07-01</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>68</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>87.30</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>7342</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeHolding>
            <securityTitle>
                <value>Phantom Stock Units</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F2"/>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F2"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F2"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <footnoteId id="F2"/>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>2486</value>
                    <footnoteId id="F3"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Stock received in lieu of cash fees pursuant to the M&amp;T Bank Corporation Directors' Stock Plan.</footnote>
        <footnote id="F2">The reported phantom stock units resulted from the conversion of existing phantom stock units received by the reporting person under a director fee plan maintained by Keystone Financial, Inc., which was acquired by M&amp;T Bank Corporation on October 6, 2000, and represent a like number of shares of M&amp;T Bank Corporation common stock.  The phantom stock units may be settled in shares of M&amp;T Bank Corporation common stock or cash upon a distribution in accordance with the terms of the plan.  The reported phantom stock units also include units acquired through the reporting person's participation in the dividend reinvestment feature of the plan.</footnote>
        <footnote id="F3">The information reported is as of March 31, 2004.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>By: Brian R. Yoshida, Esq.
(Attorney-In-Fact)</signatureName>
        <signatureDate>2004-07-02</signatureDate>
    </ownerSignature>
</ownershipDocument>

</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
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