Are 75 and 112 relatively prime?

Answer 1

The short answer is yes, 75 and 112 are relatively prime. The long answer is that any two numbers are considered to be relatively prime if they have no common factors other than 1. The prime factors of 75 are 3, 5, 5 since 3 x 5 x 5 = 75. The prime factors of 112 are 2, 2, 2, 2, 7 since 2 x 2 x 2 x 2 x 7 = 112. As you can see, there are no numbers in common in these lists of factors. Knowing this test, you can now determine for yourself if any set of numbers is relatively prime.