GCF (HCF) of 56 and 88

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What is the Greatest Common Divisor of 56 and 88?

Answer

GCF (HCF) of 56 and 88 is
8

Common factors: 1, 2, 4, 8

8 divides both: 56 ÷ 8 = 7, 88 ÷ 8 = 11 — and 7 and 11 share no factor but 1, so no larger number divides both.

56 = 23 × 7

88 = 23 × 11

Prime5688Lowest power
2232323
77——
11—11—

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

GCF = 23 = 8

See Also

GCF Table

Number 1Number 2GCF
56731
56742
56751
56764
56777
56782
56791
56808
56811
56822
56831
568428
56851
56862
56871
56888
56891
56902
56917
56924
56931
56942
56951
56968
56971
569814
56991
561004
561011
561022

FAQ

What is the Greatest Common Divisor of 56 and 88?

GCF (HCF) of 56 and 88 is 8

How to find the GCF of 56 and 88?

You can find the GCF of 56 and 88 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 56 and 88 is 8.

What prime factors do 56 and 88 share?

The prime factorizations of 56 and 88 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 56/88?

Divide the numerator and the denominator by the GCF 8: 56 ÷ 8 = 7 and 88 ÷ 8 = 11. So 56/88 in lowest terms is 7/11.