EXHIBIT 23.4
 
                             TAX ADVISORS' CONSENT
 
Board of Directors
American Federal Bank, FSB
 
Board of Directors
CCB Financial Corporation
 
     We consent to the inclusion of our tax opinion dated April 18, 1997,
regarding the federal and South Carolina income tax consequences of the Merger,
in Exhibit No. 8 of the Form S-4 Registration Statement to be filed with the
Securities and Exchange Commission and to the quotation or summarization of our
tax opinion and the references to our firm under the headings
"SUMMARY -- Certain Income Tax Consequences" and "THE MERGER -- Certain Income
Tax Consequences" in the Prospectus/Proxy Statement.
 
                                         KPMG PEAT MARWICK LLP
 
Raleigh, North Carolina
April 18, 1997