To factor the expression \( 8w + 16 \) using the greatest common factor (GCF), we first find 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:
\[ 8w + 16 = 8(w + 2) \]
Thus, the correct factorization of \( 8w + 16 \) is:
8(w + 2)