1. **State the problem:** Use the Greatest Common Factor (GCF) to write an equivalent expression for $60 + 72$ using the distributive property. 2. **Find the GCF of 60 and 72:** - Prime factorization of 60: $2^2 \times 3 \times 5$ - Prime factorization of 72: $2^3 \times 3^2$ - Common factors: $2^2 \times 3 = 4 \times 3 = 12$ - So, GCF is $12$. 3. **Apply the distributive property:** $$60 + 72 = 12 \times 5 + 12 \times 6 = 12(5 + 6)$$ 4. **Check the options:** - A. $3(20 + 24) = 3 \times 44 = 132$ (not equal to $60 + 72 = 132$ but factor is not GCF) - B. $12(5 + 6) = 12 \times 11 = 132$ (correct GCF and equivalent expression) - C. $2(30 + 36) = 2 \times 66 = 132$ (factor is not GCF) - D. $4(15 + 18) = 4 \times 33 = 132$ (factor is not GCF) **Final answer:** B. $12(5 + 6)$