To factor the expression \(-27h + 6\) using the greatest common factor (GCF), we first identify the GCF of the terms.
The GCF of \(-27\) and \(6\) is \(3\).
Now we can factor out \(3\) from the expression:
\[ -27h + 6 = 3(-9h + 2) \]
So the factored form of \(-27h + 6\) is \(3(-9h + 2)\).
Among the options you provided, the correct answer is:
3(-9h + 2).