To factor the expression \(9z + 18\) using the greatest common factor (GCF), we first need to identify the GCF of the two terms.
The terms are:
- \(9z\)
- \(18\)
The GCF of \(9\) and \(18\) is \(9\).
Now, we can factor out the GCF \(9\) from each term:
\[ 9z + 18 = 9(z) + 9(2) = 9(z + 2) \]
Thus, the factored form of \(9z + 18\) is:
\[ \boxed{9(z + 2)} \]