-----BEGIN PRIVACY-ENHANCED MESSAGE-----
Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
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MIC-Info: RSA-MD5,RSA,
 D+I3CG653Kt5eIKEvZtiustUGT8Q7k87UtqjsA65qb8UHeerYteLDKdB7nRr4lnQ
 AKQTfq51ItTH85s+kiPadQ==

<SEC-DOCUMENT>0001209191-04-035392.txt : 20040709
<SEC-HEADER>0001209191-04-035392.hdr.sgml : 20040709
<ACCEPTANCE-DATETIME>20040709131452
ACCESSION NUMBER:		0001209191-04-035392
CONFORMED SUBMISSION TYPE:	3
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20040701
FILED AS OF DATE:		20040709

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			Bojdak Robert J
		CENTRAL INDEX KEY:			0001296804

	FILING VALUES:
		FORM TYPE:		3
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-09861
		FILM NUMBER:		04907588

	BUSINESS ADDRESS:	
		BUSINESS PHONE:		716-842-5445

	MAIL ADDRESS:	
		STREET 1:		ONE FOUNTAIN PLAZA
		CITY:			BUFFALO
		STATE:			NY
		ZIP:			14203

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>3
<SEQUENCE>1
<FILENAME>doc3.xml
<DESCRIPTION>FORM 3 SUBMISSION
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0202</schemaVersion>

    <documentType>3</documentType>

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

    <noSecuritiesOwned>0</noSecuritiesOwned>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001296804</rptOwnerCik>
            <rptOwnerName>Bojdak Robert J</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>ONE FOUNTAIN PLAZA</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>BUFFALO</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>14203-1495</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Executive Vice President</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>671</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>401(k) Plan</value>
                    <footnoteId id="F1"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeHolding>
            <securityTitle>
                <value>Option (right to buy)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>80.72</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F2"/>
            </exerciseDate>
            <expirationDate>
                <value>2012-03-25</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>1000</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Option (right to buy)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>80.23</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F3"/>
            </exerciseDate>
            <expirationDate>
                <value>2013-01-21</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>7500</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Option (right to buy)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>91.75</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F4"/>
            </exerciseDate>
            <expirationDate>
                <value>2014-01-20</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>7494</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">The information presented is as of July 2, 2004.</footnote>
        <footnote id="F2">The option included a total of 1,000 shares. 300 of the covered shares are currently exercisable; 300 additional covered shares are exercisable on or after March 25, 2005; and the remaining 400 covered shares are exercisable on or after March 25, 2006.</footnote>
        <footnote id="F3">The option included a total of 7,500 shares. 750 of the covered shares are currently exercisable; 1,500 additional covered shares are exercisable on or after January 21, 2005; 2,250 additional covered shares are exercisable on or after January 21, 2006; and the remaining 3,000 covered shares are exercisable on or after January 21, 2007.</footnote>
        <footnote id="F4">The option included a total of 7,494 shares. 749 of the covered shares are exercisable on or after January 20, 2005; 1,499 additional covered shares are exercisable on or after January 20, 2006; 2,248 additional covered shares are exercisable on or after January 20, 2007; and the remaining 2,998 covered shares are exercisable on or after January 20, 2008.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Robert J. Bojdak</signatureName>
        <signatureDate>2004-07-06</signatureDate>
    </ownerSignature>
</ownershipDocument>

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