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The greatest common factor of -36bc^7, 27b^6c^7, and 36bc^2 is 9bc^2.
Factoring out 9bc^2 from each term, we have:
-36bc^7 + 27b^6c^7 + 36bc^2 = 9bc^2(-4c^5 + 3b^5c^5 - 4)