Exhibit 23.b

                             CONSENT OF INDEPENDENT
                                   ACCOUNTANTS

         We consent  to the  incorporation  by  reference  in this  Registration
Statement of Core Industries Inc on Form S-3 of our report dated March 16, 1996,
on our audit of the financial  statements  of CMB  Industries as of December 31,
1994 and 1993 and for the years then  ended,  which  report is  included  in the
Current Report on Form 8-K/A of Core  Industries Inc dated February 22, 1996. We
also consent to the reference to our Firm under the caption "Experts".


/s/ NOEL CLEVENGER & COMPANY
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Noel Clevenger & Company


June 4, 1996