To factor the expression \(-27h + 6\) using the greatest common factor (GCF), we begin by identifying the GCF of the coefficients \(-27\) and \(6\).
The GCF of \(-27\) and \(6\) is \(3\).
Now, we can factor \(3\) out of the original expression:
\[-27h + 6 = 3(-9h + 2)\]
Therefore, the fully factored expression is:
\[ 3(-9h + 2) \]
So the correct response is:
\[ 3(-9h + 2) \]