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Are 75 and 112 relatively prime?

Samantha Barber

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Samantha Barber on April 6, 2018

The short answer is yes, 75 and 112 are relatively prime. The longanswer is that any two numbers are considered relativelyprime if you do not have common factors other than 1. The primefactors of 75 are 3, 5, 5 from 3 x 5 x 5 = 75. The first factorsof 112 are 2, 2, 2, 2, 7, since 2 x 2 x 2 x 2 x 7 = 112. As you cansee, there are no numbers in common in the lists of these factors.Knowing this test, you can now determine for itself whether any set ofnumbers is relatively prime.


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