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