Question

Use properties of operations to factor 8w + 16
using the GCF. (1 point)

Answer 1

To factor the expression \(8w + 16\) using the greatest common factor (GCF), we first identify the GCF of the terms in the expression.

1. **Identify the coefficients:**
- The coefficients are 8 and 16.
- The GCF of 8 and 16 is 8.

2. **Identify the variables:**
- The variable present is \(w\), which only appears in the first term.

3. **Factor out the GCF:**
- We can factor out 8 from both terms:
\[
8w + 16 = 8(w) + 8(2) = 8(w + 2)
\]

Thus, the factored form of \(8w + 16\) is:
\[
\boxed{8(w + 2)}
\]