<?xml version="1.0" encoding="us-ascii"?><InstanceReport xmlns:xsd="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"><Version>2.4.0.8</Version><ReportLongName>2107100 - Disclosure - Credit Facility</ReportLongName><DisplayLabelColumn>true</DisplayLabelColumn><ShowElementNames>false</ShowElementNames><RoundingOption /><HasEmbeddedReports>false</HasEmbeddedReports><Columns><Column FlagID="0"><Id>1</Id><IsAbstractGroupTitle>false</IsAbstractGroupTitle><LabelSeparator>

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</LabelSeparator><Level>1</Level><ElementName>us-gaap_LineOfCreditFacilityAbstract</ElementName><ElementPrefix>us-gaap_</ElementPrefix><IsBaseElement>true</IsBaseElement><BalanceType>na</BalanceType><PeriodType>duration</PeriodType><IsReportTitle>false</IsReportTitle><IsSegmentTitle>false</IsSegmentTitle><IsCalendarTitle>false</IsCalendarTitle><IsEquityPrevioslyReportedAsRow>false</IsEquityPrevioslyReportedAsRow><IsEquityAdjustmentRow>false</IsEquityAdjustmentRow><IsBeginningBalance>false</IsBeginningBalance><IsEndingBalance>false</IsEndingBalance><IsReverseSign>false</IsReverseSign><FootnoteIndexer /><Cells><Cell FlagID="0" ContextID="" UnitID=""><Id>1</Id><IsNumeric>false</IsNumeric><IsRatio>false</IsRatio><DisplayZeroAsNone>false</DisplayZeroAsNone><NumericAmount>0</NumericAmount><RoundedNumericAmount>0</RoundedNumericAmount><NonNumbericText /><FootnoteIndexer /><CurrencyCode /><CurrencySymbol /><IsIndependantCurrency>false</IsIndependantCurrency><ShowCurrencySymbol>false</ShowCurrencySymbol><DisplayDateInUSFormat>false</DisplayDateInUSFormat></Cell></Cells><ElementDataType>xbrli:stringItemType</ElementDataType><SimpleDataType>string</SimpleDataType><IsTotalLabel>false</IsTotalLabel><UnitID>0</UnitID><Label>Line of Credit Facility [Abstract]</Label></Row><Row FlagID="0"><Id>2</Id><IsAbstractGroupTitle>false</IsAbstractGroupTitle><LabelSeparator>

</LabelSeparator><Level>2</Level><ElementName>us-gaap_DebtDisclosureTextBlock</ElementName><ElementPrefix>us-gaap_</ElementPrefix><IsBaseElement>true</IsBaseElement><BalanceType>na</BalanceType><PeriodType>duration</PeriodType><IsReportTitle>false</IsReportTitle><IsSegmentTitle>false</IsSegmentTitle><IsCalendarTitle>false</IsCalendarTitle><IsEquityPrevioslyReportedAsRow>false</IsEquityPrevioslyReportedAsRow><IsEquityAdjustmentRow>false</IsEquityAdjustmentRow><IsBeginningBalance>false</IsBeginningBalance><IsEndingBalance>false</IsEndingBalance><IsReverseSign>false</IsReverseSign><PreferredLabelRole>terseLabel</PreferredLabelRole><FootnoteIndexer /><Cells><Cell FlagID="0" ContextID="D2013Q3YTD" UnitID=""><Id>1</Id><IsNumeric>false</IsNumeric><IsRatio>false</IsRatio><DisplayZeroAsNone>false</DisplayZeroAsNone><NumericAmount>0</NumericAmount><RoundedNumericAmount>0</RoundedNumericAmount><NonNumbericText>&lt;div style="font-family:Times New Roman;font-size:10pt;"&gt;&lt;div style="line-height:120%;font-size:10pt;"&gt;&lt;font style="font-family:inherit;font-size:10pt;font-weight:bold;"&gt;Credit Facility&lt;/font&gt;&lt;/div&gt;&lt;div style="line-height:120%;padding-top:6px;text-indent:32px;font-size:10pt;"&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt;On November&amp;#160;29, 2010, the Company and Markets entered into a &lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;color:#000000;text-decoration:none;"&gt;$245.0 million&lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt; senior secured credit facility (the &amp;#8220;Credit Facility&amp;#8221;) with Bank of America, N.A., as administrative agent and a lender. Lenders under the Credit Facility consist of a consortium of banks. The Credit Facility consists of a &lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;color:#000000;text-decoration:none;"&gt;four&lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt;-year &lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;color:#000000;text-decoration:none;"&gt;$145.0 million&lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt; term loan (the &amp;#8220;Term Loan&amp;#8221;) and a &lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;color:#000000;text-decoration:none;"&gt;$100.0 million&lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt; revolving credit facility (the &amp;#8220;Revolving Credit Facility&amp;#8221;). The Credit Facility is secured by substantially all of the Company&amp;#8217;s personal property excluding certain intangible assets consisting of trademarks and shares of capital stock. The Credit Facility is guaranteed by the Company, its direct subsidiary Development and by its indirect subsidiaries Super Rx and Dairies.&lt;/font&gt;&lt;/div&gt;&lt;div style="line-height:120%;padding-top:12px;text-indent:32px;font-size:10pt;"&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt;The Term Loan bears interest at the Eurodollar Rate plus &lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;color:#000000;text-decoration:none;"&gt;2.50%&lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt; or the Base Rate plus &lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;color:#000000;text-decoration:none;"&gt;1.50%&lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt; (as defined in the Credit Facility) and the interest under the Term Loan is payable quarterly in arrears and includes mandatory quarterly principal payments of &lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;color:#000000;text-decoration:none;"&gt;5.0%&lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt;, of the original outstanding balance, in each of the first two years of the agreement and &lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;color:#000000;text-decoration:none;"&gt;10.0%&lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt;, of the original outstanding balance, in each of the years three and four of the agreement. The Term Loan also includes additional mandatory principal payments on the Term Loan based on a percentage of &amp;#8220;excess cash flow&amp;#8221; as defined in the Credit Facility. The Term Loan is due November&amp;#160;29, 2014 with any remaining outstanding principal amounts under the Term Loan due as of that date. The security held under the Credit Facility is held until the Term Loan is paid in full.&lt;/font&gt;&lt;/div&gt;&lt;div style="line-height:120%;padding-top:12px;text-indent:32px;font-size:10pt;"&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt;During the &lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;color:#000000;text-decoration:none;"&gt;thirty-nine weeks ended&lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt; &lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;color:#000000;text-decoration:none;"&gt;June&amp;#160;30, 2013&lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt;, the Company made principal payments on the term loan of approximately &lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;color:#000000;text-decoration:none;"&gt;$11.4 million&lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt; which consisted of a contractual quarterly principal payment of &lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;color:#000000;text-decoration:none;"&gt;$10.9 million&lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt; and an excess cash payment of approximately &lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;color:#000000;text-decoration:none;"&gt;$0.5 million&lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt;.&lt;/font&gt;&lt;/div&gt;&lt;div style="line-height:120%;padding-top:12px;text-indent:32px;font-size:10pt;"&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt;As of &lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;color:#000000;text-decoration:none;"&gt;June&amp;#160;30, 2013&lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt;, the interest rates on the Term Loan are based on the Eurodollar Rate and consisted of a &lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;color:#000000;text-decoration:none;"&gt;ninety&lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt; day rate of approximately &lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;color:#000000;text-decoration:none;"&gt;2.778%&lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt; on approximately &lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;color:#000000;text-decoration:none;"&gt;$3.6 million&lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt; of outstanding principal amount and a &lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;color:#000000;text-decoration:none;"&gt;twelve&lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt; month rate of approximately &lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;color:#000000;text-decoration:none;"&gt;3.344%&lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt; on approximately &lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;color:#000000;text-decoration:none;"&gt;$89.9 million&lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt; of outstanding principal amount.&lt;/font&gt;&lt;/div&gt;&lt;div style="line-height:120%;font-size:10pt;"&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt;&lt;br clear="none"/&gt;&lt;/font&gt;&lt;/div&gt;&lt;div style="line-height:120%;font-size:10pt;"&gt;&lt;font style="font-family:inherit;font-size:10pt;font-weight:bold;"&gt;Note 7 &amp;#8211; Credit Facility (contd.)&lt;/font&gt;&lt;/div&gt;&lt;div style="line-height:120%;padding-top:12px;text-indent:32px;font-size:10pt;"&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt;Subject to certain restrictions, the entire amount of the Revolving Credit Facility may be used for loans, letters of credit or a combination thereof. Borrowing under the Revolving Credit Facility are secured and will be used for working capital, certain capital expenditures and other general corporate purposes. Letters of credit issued under the Revolving Credit Facility are expected to be used for workers&amp;#8217; compensation insurance obligations and may be used for new store construction and certain other corporate purposes. The availability of the loans and letters of credit are subject to certain borrowing restrictions.&lt;/font&gt;&lt;/div&gt;&lt;div style="line-height:120%;padding-top:12px;text-indent:32px;font-size:10pt;"&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt;Loans under the Revolving Credit Facility bear interest at a rate based upon either (i)&amp;#160;the &amp;#8220;Base Rate&amp;#8221; (defined as the higher of (a)&amp;#160;the federal funds rate plus &lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;color:#000000;text-decoration:none;"&gt;0.50%&lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt; and (b)&amp;#160;the Bank of America &amp;#8220;prime rate&amp;#8221;), plus &lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;color:#000000;text-decoration:none;"&gt;1.50%&lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt;, or (ii)&amp;#160;the &amp;#8220;Eurodollar Rate&amp;#8221; (defined as the British Bankers Association LIBOR Rate adjusted for the maximum reserve requirement for Eurocurrency funding), plus &lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;color:#000000;text-decoration:none;"&gt;2.50%&lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt;. For Eurodollar Rate loans, the Company will be entitled to select interest periods of one, two, three, six, nine or twelve months, subject to availability.&lt;/font&gt;&lt;/div&gt;&lt;div style="line-height:120%;padding-top:12px;text-indent:32px;font-size:10pt;"&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt;The Credit Facility requires the Company and Markets to meet certain financial tests, including minimum net worth and the maintenance of minimum earnings levels. The Credit Facility contains covenants which, among other things, limit the ability of the Company and its subsidiaries to (i)&amp;#160;incur indebtedness, grant liens and guarantee obligations, (ii)&amp;#160;enter into mergers, consolidations, liquidations and dissolutions, asset sales, investments, leases and transactions with affiliates, (iii)&amp;#160;make restricted payments and (iv)&amp;#160;make certain amendments to the Indentures governing the &lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;color:#000000;text-decoration:none;"&gt;$255.0 million&lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt; &lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;color:#000000;text-decoration:none;"&gt;7.375%&lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt; Senior Notes due &lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;color:#000000;text-decoration:none;"&gt;November&amp;#160;15, 2018&lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt; (&amp;#8220;&lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;color:#000000;text-decoration:none;"&gt;7.375%&lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt; Senior Notes&amp;#8221;) and the &lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;color:#000000;text-decoration:none;"&gt;$285.0 million&lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt; &lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;color:#000000;text-decoration:none;"&gt;7.75%&lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt; Senior Notes due &lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;color:#000000;text-decoration:none;"&gt;April&amp;#160;15, 2015&lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt; (&amp;#8220;&lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;color:#000000;text-decoration:none;"&gt;7.75%&lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt; Senior Notes&amp;#8221;) (&amp;#8220;Notes Indentures&amp;#8221;). Markets and the Company&amp;#8217;s other direct and indirect subsidiaries are not limited in their ability to transfer assets in the form of loans, advances or cash dividends to the Company.&lt;/font&gt;&lt;/div&gt;&lt;div style="line-height:120%;padding-top:12px;text-indent:32px;font-size:10pt;"&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt;As of &lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;color:#000000;text-decoration:none;"&gt;June&amp;#160;30, 2013&lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt;, the Company and Markets were in compliance with all restrictive financial covenants under the Credit Facility.&lt;/font&gt;&lt;/div&gt;&lt;div style="line-height:120%;padding-top:12px;text-indent:32px;font-size:10pt;"&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt;As of &lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;color:#000000;text-decoration:none;"&gt;June&amp;#160;30, 2013&lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt;, the Company had &lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;color:#000000;text-decoration:none;"&gt;$59.9 million&lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt; of outstanding letters of credit and had &lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;color:#000000;text-decoration:none;"&gt;$40.1 million&lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt; available under the Credit Facility.&lt;/font&gt;&lt;/div&gt;&lt;div style="line-height:120%;padding-top:12px;text-indent:32px;font-size:10pt;"&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt;The Company had no borrowings outstanding under the Revolving Credit Facility as of &lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;color:#000000;text-decoration:none;"&gt;June&amp;#160;30, 2013&lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt; and the Company did not incur any borrowings under the Revolving Credit Facility during the &lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;color:#000000;text-decoration:none;"&gt;thirty-nine weeks ended June 30, 2013&lt;/font&gt;&lt;font style="font-family:inherit;font-size:10pt;"&gt;.&lt;/font&gt;&lt;/div&gt;&lt;/div&gt;</NonNumbericText><FootnoteIndexer /><CurrencyCode /><CurrencySymbol /><IsIndependantCurrency>false</IsIndependantCurrency><ShowCurrencySymbol>false</ShowCurrencySymbol><DisplayDateInUSFormat>false</DisplayDateInUSFormat></Cell></Cells><ElementDataType>nonnum:textBlockItemType</ElementDataType><SimpleDataType>na</SimpleDataType><ElementDefenition>The entire disclosure for information about short-term and long-term debt arrangements, which includes amounts of borrowings under each line of credit, note payable, commercial paper issue, bonds indenture, debenture issue, own-share lending arrangements and any other contractual agreement to repay funds, and about the underlying arrangements, rationale for a classification as long-term, including repayment terms, interest rates, collateral provided, restrictions on use of assets and activities, whether or not in compliance with debt covenants, and other matters important to users of the financial statements, such as the effects of refinancing and noncompliance with debt covenants.</ElementDefenition><ElementReferences>Reference 1: http://www.xbrl.org/2003/role/presentationRef

 -Publisher FASB

 -Name Accounting Standards Codification

 -Topic 505

 -SubTopic 10

 -Section 50

 -Paragraph 3

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Reference 2: http://www.xbrl.org/2003/role/presentationRef

 -Publisher SEC

 -Name Regulation S-X (SX)

 -Number 210

 -Section 02

 -Paragraph 19, 20, 22

 -Article 5



Reference 3: http://www.xbrl.org/2003/role/presentationRef

 -Publisher FASB

 -Name Statement of Financial Accounting Standard (FAS)

 -Number 129

 -Paragraph 2, 4

 -LegacyDoc This reference is SUPERSEDED by the Accounting Standards Codification effective for interim and annual periods ending after September 15, 2009.  This reference is included to help users transition from the previous accounting hierarchy and will be removed from future versions of this taxonomy.



Reference 4: http://www.xbrl.org/2003/role/presentationRef

 -Publisher FASB

 -Name Accounting Standards Codification

 -Topic 210

 -SubTopic 10

 -Section S99

 -Paragraph 1

 -Subparagraph (SX 210.5-02.19,20,22)

 -URI http://asc.fasb.org/extlink&amp;oid=6877327&amp;loc=d3e13212-122682



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