GCF (HCF) of 56 and 96

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What is the Greatest Common Divisor of 56 and 96?

Answer

GCF (HCF) of 56 and 96 is
8

Common factors: 1, 2, 4, 8

8 divides both: 56 ÷ 8 = 7, 96 ÷ 8 = 12 — and 7 and 12 share no factor but 1, so no larger number divides both.

56 = 23 × 7

96 = 25 × 3

Prime5696Lowest power
2232523
3—3—
77——

— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.

GCF = 23 = 8

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GCF Table

Number 1Number 2GCF
56811
56822
56831
568428
56851
56862
56871
56888
56891
56902
56917
56924
56931
56942
56951
56968
56971
569814
56991
561004
561011
561022
561031
561048
561057
561062
561071
561084
561091
561102

FAQ

What is the Greatest Common Divisor of 56 and 96?

GCF (HCF) of 56 and 96 is 8

How to find the GCF of 56 and 96?

You can find the GCF of 56 and 96 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 56 and 96 is 8.

What prime factors do 56 and 96 share?

The prime factorizations of 56 and 96 have 2 × 2 × 2 in common, and multiplying those shared primes gives 8 — exactly the greatest common factor.

How does the GCF reduce the fraction 56/96?

Divide the numerator and the denominator by the GCF 8: 56 ÷ 8 = 7 and 96 ÷ 8 = 12. So 56/96 in lowest terms is 7/12.

See Also