To factor the expression \(-27h + 6\) using the greatest common factor (GCF), we first identify the GCF of the two coefficients, \(-27\) and \(6\).
The GCF of \(27\) and \(6\) is \(3\). Since we want to factor out \(3\), we can rewrite the expression as follows:
\[ -27h + 6 = 3(-9h + 2) \]
So, the factored form of \(-27h + 6\) using the GCF is:
\[ 3(-9h + 2) \]
Thus, the correct response is:
3(−9h + 2)