Question

look at the factors of 24 and 32.
factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
factors of 32: 1, 2, 4, 8, 16, 32
the gcf of 24 and 32 is

Explanation:

Identify the common factors

$$ S_{24} = \{1, 2, 3, 4, 6, 8, 12, 24\} $$

$$ S_{32} = \{1, 2, 4, 8, 16, 32\} $$

$$ S_{24} \cap S_{32} = \{1, 2, 4, 8\} $$

Find the greatest common factor

$$ \max(S_{24} \cap S_{32}) = 8 $$

Answer:

Look at the factors of 24 and 32.
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 32: 1, 2, 4, 8, 16, 32
The GCF of 24 and 32 is <blank>8</blank>.