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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,
 HeQfQbXHne4LgsoZBxkpv4w9JcfweSE8H9g7I2AbLSUNfZBp4viXWHnFGCmFQaob
 JgOXILpnNgZjG6hwWqZLQQ==

<SEC-DOCUMENT>0001181431-04-003911.txt : 20040122
<SEC-HEADER>0001181431-04-003911.hdr.sgml : 20040122
<ACCEPTANCE-DATETIME>20040122212235
ACCESSION NUMBER:		0001181431-04-003911
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20040120
FILED AS OF DATE:		20040122

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			MATTESON DUNCAN L
		CENTRAL INDEX KEY:			0001189045

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	000-25034
		FILM NUMBER:		04538965

	BUSINESS ADDRESS:	
		STREET 1:		2860 W BAYSHORE RD
		CITY:			PALO ALTO
		STATE:			CA
		ZIP:			94303
		BUSINESS PHONE:		6508138200

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			GREATER BAY BANCORP
		CENTRAL INDEX KEY:			0000775473
		STANDARD INDUSTRIAL CLASSIFICATION:	NATIONAL COMMERCIAL BANKS [6021]
		IRS NUMBER:				770387041
		STATE OF INCORPORATION:			CA
		FISCAL YEAR END:			1231

	BUSINESS ADDRESS:	
		STREET 1:		2860 WEST BAYSHORE ROAD
		CITY:			PALO ALTO
		STATE:			CA
		ZIP:			94303
		BUSINESS PHONE:		4153751555

	MAIL ADDRESS:	
		STREET 1:		2860 BAYSHORE ROAD
		STREET 2:		420 COWPER ST
		CITY:			PALO ALTO
		STATE:			CA
		ZIP:			943011504

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	MID PENINSULA BANCORP
		DATE OF NAME CHANGE:	19941031

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	SAN MATEO COUNTY BANCORP
		DATE OF NAME CHANGE:	19920703
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>rrd29903.xml
<TEXT>
<XML>
<?xml version="1.0"?><ownershipDocument>
    <schemaVersion>X0201</schemaVersion>

    <documentType>4</documentType><periodOfReport>2004-01-20</periodOfReport><notSubjectToSection16>0</notSubjectToSection16>
    <issuer>
        <issuerCik>0000775473</issuerCik>
        <issuerName>GREATER BAY BANCORP</issuerName>
        <issuerTradingSymbol>GBBK</issuerTradingSymbol></issuer><reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001189045</rptOwnerCik>
            <rptOwnerName>MATTESON DUNCAN L</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>2860 W. BAYSHORE ROAD</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>PALO ALTO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94303</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>2004-01-20</value></transactionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>M</transactionCode><equitySwapInvolved>0</equitySwapInvolved></transactionCoding><transactionAmounts><transactionShares><value>10000</value></transactionShares><transactionPricePerShare><value>0</value><footnoteId id="F3"/></transactionPricePerShare><transactionAcquiredDisposedCode><value>A</value></transactionAcquiredDisposedCode></transactionAmounts><postTransactionAmounts><sharesOwnedFollowingTransaction><value>169600</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></nonDerivativeTransaction
></nonDerivativeTable><derivativeTable><derivativeTransaction><securityTitle><value>Non-Qualified Stock Option (right to buy)</value></securityTitle><conversionOrExercisePrice><value>29.55</value></conversionOrExercisePrice><transactionDate><value>2004-01-20</value></transactionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>A</transactionCode><equitySwapInvolved>0</equitySwapInvolved></transactionCoding><transactionAmounts><transactionShares><value>18000</value></transactionShares><transactionPricePerShare><value>0</value><footnoteId id="F2"/></transactionPricePerShare><transactionAcquiredDisposedCode><value>A</value></transactionAcquiredDisposedCode></transactionAmounts><exerciseDate><value>2005-01-20</value><footnoteId id="F1"/></exerciseDate><expirationDate><value>2014-01-20</value></expirationDate><underlyingSecurity><underlyingSecurityTitle><value>Common Stock</value></underlyingSecurityTitle><underlyingSecurityShares><value>18000</value></underlyingSecurityShares><
/underlyingSecurity><postTransactionAmounts><sharesOwnedFollowingTransaction><value>18000</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></derivativeTransaction></derivativeTable><footnotes><footnote id="F1">20% vesting on each anniversary of grant date.</footnote><footnote id="F2">Option granted under the Issuer's 1996 Stock Option Plan</footnote><footnote id="F3">Restricted shares granted under the Issuer's 1996 Stock Option Plan.  Restrictions lapse 20% on the first anniversary of the grant date and 20% annually thereafter.</footnote></footnotes><ownerSignature><signatureName>\s\ Duncan L. Matteson</signatureName><signatureDate>2004-01-22</signatureDate></ownerSignature></ownershipDocument>



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