GCF (HCF) of 56 and 70

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What is the Greatest Common Divisor of 56 and 70?

Answer

GCF (HCF) of 56 and 70 is
14

Common factors: 1, 2, 7, 14

14 divides both: 56 ÷ 14 = 4, 70 ÷ 14 = 5 — and 4 and 5 share no factor but 1, so no larger number divides both.

56 = 23 × 7

70 = 2 × 5 × 7

Prime5670Lowest power
22322
5—5—
7777

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

GCF = 2 × 7 = 14

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GCF Table

Number 1Number 2GCF
56551
565656
56571
56582
56591
56604
56611
56622
56637
56648
56651
56662
56671
56684
56691
567014
56711
56728
56731
56742
56751
56764
56777
56782
56791
56808
56811
56822
56831
568428

FAQ

What is the Greatest Common Divisor of 56 and 70?

GCF (HCF) of 56 and 70 is 14

How to find the GCF of 56 and 70?

You can find the GCF of 56 and 70 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 56 and 70 is 14.

What prime factors do 56 and 70 share?

The prime factorizations of 56 and 70 have 2 × 7 in common, and multiplying those shared primes gives 14 — exactly the greatest common factor.

How does the GCF reduce the fraction 56/70?

Divide the numerator and the denominator by the GCF 14: 56 ÷ 14 = 4 and 70 ÷ 14 = 5. So 56/70 in lowest terms is 4/5.

See Also