Final answer:
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)