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