write 28+24 as a product of two factors using the gcf and distribute property

To express \( 28 + 24 \) as a product of two factors using the greatest common factor (GCF) and the distributive property, we first need to find the GCF of 28 and 24.

1. **Find the GCF:**
- The prime factorization of 28 is \( 2^2 \times 7 \).
- The prime factorization of 24 is \( 2^3 \times 3 \).
- The GCF is the product of the lowest powers of common prime factors. Here, the common prime factor is 2, and the lowest power is \( 2^2 \) (which is 4).

2. **Rewrite the expression using the GCF:**
- We can factor out the GCF from both numbers:
\[
28 + 24 = 4(7) + 4(6)
\]
\[
= 4(7 + 6)
\]

3. **Final form:**
Thus, we can write:
\[
28 + 24 = 4(7 + 6)
\]

So, the final format is:
\[
28 + 24 = 4(7 + 6)
\]