Gcf 12 60 9C4867

1. **State the problem:** Find the greatest common factor (GCF) of $12$ and $60$. 2. **Recall the definition:** The GCF of two numbers is the largest positive integer that divides both numbers without leaving a remainder. 3. **Find the prime factorization:** - $12 = 2^2 \times 3$ - $60 = 2^2 \times 3 \times 5$ 4. **Identify common prime factors:** Both have $2^2$ and $3$ in common. 5. **Multiply the common factors:** $$\text{GCF} = 2^2 \times 3 = 4 \times 3 = 12$$ 6. **Conclusion:** The greatest common factor of $12$ and $60$ is $12$.