To factor the expression \(-27h + 6\) using the greatest common factor (GCF), we first 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:
\[ -27h + 6 = 3(-9h + 2) \]
So, the factored form of the expression is:
\[ 3(-9h + 2) \]
Among the given responses, the correct answer is:
3(−9h+2)