Question

7) Which pair of numbers has a greatest common

factor of 8 and a least common multiple of 24?
a. 8 and 16
b. 8 and 12
c. 4 and 12
d. 1 and 24

Answer 1

The pair of numbers with a greatest common factor of 8 and a least common multiple of 24 is 8 and 12.

Step-by-step explanation:

To find the pair of numbers with a greatest common factor of 8 and a least common multiple of 24, we need to consider the prime factorization of 8 and 24. The prime factorization of 8 is 2 * 2 * 2, and the prime factorization of 24 is 2 * 2 * 2 * 3. We want the numbers to have a GCF of 8, which means they should have at least three 2s in their prime factorization. Looking at the options, the pair that satisfies this condition is (b) 8 and 12. The prime factorization of 12 is 2 * 2 * 3, which has three 2s.

Learn more about Greatest Common Factor (GCF) and Least Common Multiple (LCM)