To factor the expression \(-27h + 6\) using the greatest common factor (GCF), we first need to find the GCF of the coefficients \(-27\) and \(6\).
- The factors of \(-27\) are: \(-1, -3, -9, -27, 1, 3, 9, 27\).
- The factors of \(6\) are: \(-1, -2, -3, -6, 1, 2, 3, 6\).
The GCF of \(-27\) and \(6\) is \(3\).
Next, we factor out \(3\) from the expression:
\[ -27h + 6 = 3(-9h + 2) \]
Thus, the factored form of the expression is:
\[ 3(-9h + 2) \]
So, the correct response is:
3(−9h + 2).