To factor the expression \( 8w + 16 \) using the greatest common factor (GCF), we first need to determine the GCF of the coefficients 8 and 16.
The GCF of 8 and 16 is 8.
Now we can factor out 8 from the expression:
\[ 8w + 16 = 8(w + 2) \]
So, the correct response is:
8(w + 2).