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To factor the expression \(-27h + 6\) using the greatest common factor (GCF), we first identify the GCF of the coefficients \(-27\) and \(6\).
The GCF of \(-27\) and \(6\) is \(3\).
Now we can factor \(3\) out of the expression:
\[
-27h + 6 = 3(-9h + 2)
\]
Thus, the factored form is:
\[
3(-9h + 2)
\]
Therefore, the correct response is:
**3(−9h + 2)**.