24. Multiple Choice For which pair of numbers is the greatest common factor 8? Anwer
What are your choices?
To find the pair of numbers with the greatest common factor of 8, we need to check the factors of each pair and see if 8 is one of their common factors.
Let's go through the provided options:
A) 6 and 16: The factors of 6 are 1, 2, 3, and 6, and the factors of 16 are 1, 2, 4, 8, and 16. The common factors are 1 and 2, but 8 is not a common factor. Therefore, this pair does not have a greatest common factor of 8.
B) 24 and 32: The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24, and the factors of 32 are 1, 2, 4, 8, 16, and 32. The common factors are 1, 2, 4, and 8, which means 8 is one of the common factors. Therefore, this pair has a greatest common factor of 8.
C) 40 and 48: The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40, and the factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. The common factors are 1, 2, 4, 8, and 16, but 8 is not the greatest common factor. Therefore, this pair does not have a greatest common factor of 8.
D) 56 and 64: The factors of 56 are 1, 2, 4, 7, 8, 14, 28, and 56, and the factors of 64 are 1, 2, 4, 8, 16, 32, and 64. The common factors are 1, 2, 4, and 8, so this pair also has a greatest common factor of 8.
From the options given, the pairs of numbers with the greatest common factor of 8 are B) 24 and 32, and D) 56 and 64.