14. Find the greatest common factor of 24 and 36 Find the LCM of 12 and 16

To find the greatest common factor (GCF) of 24 and 36, we can list the factors of each number: **Factors of 24:** 1, 2, 3, 4, 6, 8, 12, 24 **Factors of 36:** 1, 2, 3, 4, 6, 9, 12, 18, 36 The common factors are: 1, 2, 3, 4, 6, 12. The greatest common factor is **12**. --- To find the least common multiple (LCM) of 12 and 16, we can use the prime factorization method: **Prime factorization of 12:** 12 = 2² × 3¹ **Prime factorization of 16:** 16 = 2⁴ To find the LCM, we take the highest power of each prime factor: - For 2, the highest power is 2⁴. - For 3, the highest power is 3¹. Now, multiply these together: LCM = 2⁴ × 3¹ = 16 × 3 = 48. So, the least common multiple of 12 and 16 is **48**.