To factor the expression \(-27h + 6\) using the greatest common factor (GCF), first, we need to find the GCF of the coefficients \(-27\) and \(6\).
- The factors of \(-27\) are \(-1, 1, -3, 3, -9, 9, -27, 27\).
- The factors of \(6\) are \(-1, 1, -2, 2, -3, 3, -6, 6\).
The greatest common factor between \(-27\) 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 \(-27h + 6\) using the GCF is:
\[ -3(9h - 2) \]