To factor \(8w + 16\) using the greatest common factor (GCF), we first identify the GCF of the terms \(8w\) and \(16\):
- The GCF of the coefficients \(8\) and \(16\) is \(8\).
- Therefore, we can factor out \(8\) from both terms:
\[ 8w + 16 = 8(w + 2) \]
So, the correct factored form is:
\[ 8(w + 2) \]
The answer is:
8(w + 2)