-----BEGIN PRIVACY-ENHANCED MESSAGE-----
Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
Originator-Key-Asymmetric:
 MFgwCgYEVQgBAQICAf8DSgAwRwJAW2sNKK9AVtBzYZmr6aGjlWyK3XmZv3dTINen
 TWSM7vrzLADbmYQaionwg5sDW3P6oaM5D3tdezXMm7z1T+B+twIDAQAB
MIC-Info: RSA-MD5,RSA,
 BudTEMLlU/r5x0aIPdxpX/cZ6jOLYKvnotFjNT4MFhd2vAAMaMk3RhV4ObhKGS+F
 MCu0F+gZlzGgJ8hxUBhsKA==

<SEC-DOCUMENT>0001209191-03-024109.txt : 20031002
<SEC-HEADER>0001209191-03-024109.hdr.sgml : 20031002
<ACCEPTANCE-DATETIME>20031002142514
ACCESSION NUMBER:		0001209191-03-024109
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20031001
FILED AS OF DATE:		20031002

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

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			BAIRD BRENT D
		CENTRAL INDEX KEY:			0001082769

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-09861
		FILM NUMBER:		03923598

	BUSINESS ADDRESS:	
		STREET 1:		C/O OGLEBAY NORTON CO
		STREET 2:		1100 SUPERIOR AVENUE
		CITY:			CLEVELAND
		STATE:			OH
		ZIP:			44114-2598
		BUSINESS PHONE:		2168613300

	MAIL ADDRESS:	
		STREET 1:		C/O OGLEBAY NORTON CO
		STREET 2:		1100 SUPERIOR AVENUE
		CITY:			CLEVELAND
		STATE:			OH
		ZIP:			44114-2598
</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>0001082769</rptOwnerCik>
            <rptOwnerName>BAIRD BRENT D</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1350 ONE M&amp;T PLAZA</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>BUFFALO</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>14203-2396</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>90</value></transactionShares><transactionPricePerShare><value>87.3</value></transactionPricePerShare><transactionAcquiredDisposedCode><value>A</value></transactionAcquiredDisposedCode></transactionAmounts><postTransactionAmounts><sharesOwnedFollowingTransaction><value>14635</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrI
ndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></nonDerivativeTransaction><nonDerivativeHolding><securityTitle><value>Common Stock</value></securityTitle><postTransactionAmounts><sharesOwnedFollowingTransaction><value>60000</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>I</value></directOrIndirectOwnership><natureOfOwnership><value>By Spouse</value></natureOfOwnership></ownershipNature></nonDerivativeHolding><nonDerivativeHolding><securityTitle><value>Common Stock</value></securityTitle><postTransactionAmounts><sharesOwnedFollowingTransaction><value>246040</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>I</value></directOrIndirectOwnership><natureOfOwnership><value>By Trust</value></natureOfOwnership></ownershipNature></nonDerivativeHolding></nonDerivativeTable><footnotes><footnote id="F1">Stock received in lieu of cash fees pursuant to the
 M&amp;T Bank Corporation Directors' Stock Plan.</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>
-----END PRIVACY-ENHANCED MESSAGE-----