Greatest Common Factor of 56 and 75 by Prime Factorization

Given Numbers: 56, 75
Identify the Prime Factors of 56 and 75 by Prime Factorization

• Prime Factorization of 56: 56 = 2 x 2 x 2 x 7 = 2³ x 7¹
• Prime Factorization of 75: 75 = 3 x 5 x 5 = 3¹ x 5²

Determine the Prime Factor(s) that are common to the Prime Factorization of each number:

• There are no Prime Factors common to the Prime Factorizations of 56 and 75

Therefore, the Greatest Common Factor of 56 and 75 = 1
Note: Since the GCF(56, 75) = 1, 56 and 75 are coprime