To factor the expression \(8w + 16\) using the greatest common factor (GCF), first, we identify the GCF of the coefficients.
The coefficients are 8 and 16. The GCF of 8 and 16 is 8.
Now, we can factor out the GCF:
\[ 8w + 16 = 8(w + 2) \]
So the correct factored form is:
\[ 8(w + 2) \]
Among the provided responses, the correct one is:
8(w + 2)