Why is 8 the greatest common factor of 24 and 32?

Answer 1

Watch carefully:

-- The factors of 24 are 1, 2, 3, 4, 6, 8,12, and 24.

-- The factors of 32 are 1, 2, 4, 8, 16, and 32.

-- The common factors ... those that appear on both lists ... are 1, 2, 4, and 8 .

-- The greatest of these is 8 .

Answer 2

Because it's the largest positive integer that can divide into both of those numbers evenly with no remainder.