To factor the expression \(8w + 16\) using the greatest common factor (GCF), we first identify the GCF of the terms in the expression.
The terms are \(8w\) and \(16\).
- The GCF of \(8\) and \(16\) is \(8\).
Now we can factor \(8\) out of the expression:
\[ 8w + 16 = 8(w + 2) \]
So the correct answer is:
\[ 8(w + 2) \quad \text{or} \quad 8 \text{ times open paren } w \text{ plus } 2 \text{ close paren} \]