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Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
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 TWSM7vrzLADbmYQaionwg5sDW3P6oaM5D3tdezXMm7z1T+B+twIDAQAB
MIC-Info: RSA-MD5,RSA,
 Pljxb0O878cN/HQlL1o/uMfyIbXdstjuWC2eAfgNxmGiZL/32EA5t/Zve04ddEvy
 ER2bCnbA8maJO9ejrUsL0A==

<SEC-DOCUMENT>0001209191-03-024124.txt : 20031002
<SEC-HEADER>0001209191-03-024124.hdr.sgml : 20031002
<ACCEPTANCE-DATETIME>20031002143229
ACCESSION NUMBER:		0001209191-03-024124
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20031001
FILED AS OF DATE:		20031002

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			GARMAN RICHARD E
		CENTRAL INDEX KEY:			0001245769

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-09861
		FILM NUMBER:		03923659

	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>X0201</schemaVersion>

    <documentType>4</documentType><periodOfReport>2003-10-01</periodOfReport><notSubjectToSection16>0</notSubjectToSection16>
    <issuer>
        <issuerCik>0000036270</issuerCik>
        <issuerName>M&amp;T BANK CORP</issuerName>
        <issuerTradingSymbol>MTB</issuerTradingSymbol></issuer><reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001245769</rptOwnerCik>
            <rptOwnerName>GARMAN RICHARD E</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>578 MILL ROAD</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>EAST AURORA</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>14052-2831</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>2003-10-01</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>97</value></transactionShares><transactionPricePerShare><value>87.3</value></transactionPricePerShare><transactionAcquiredDisposedCode><value>A</value></transactionAcquiredDisposedCode></transactionAmounts><postTransactionAmounts><sharesOwnedFollowingTransaction><value>271684.341</value><footnoteId id="F2" /></sharesOwnedFollowingTransaction></postTransactionAmounts>
<ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></nonDerivativeTransaction></nonDerivativeTable><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">Includes 920.389 shares acquired between July 1, 2003 and September 30, 2003 through the reporting person's participation in a dividend reinvestment plan meeting the requirements of Rule 16a-11. </footnote></footnotes><remarks></remarks><ownerSignature><signatureName>By: Brian R. Yoshida, Esq.
(Attorney-In-Fact)</signatureName><signatureDate>2003-10-02</signatureDate></ownerSignature></ownershipDocument>

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