GCF (HCF) of 51 and 85

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What is the Greatest Common Divisor of 51 and 85?

Answer

GCF (HCF) of 51 and 85 is
17

Common factors: 1, 17

17 divides both: 51 ÷ 17 = 3, 85 ÷ 17 = 5 — and 3 and 5 share no factor but 1, so no larger number divides both.

51 = 3 × 17

85 = 5 × 17

Prime5185Lowest power
33——
5—5—
17171717

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

GCF = 17

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GCF Table

Number 1Number 2GCF
51701
51711
51723
51731
51741
51753
51761
51771
51783
51791
51801
51813
51821
51831
51843
518517
51861
51873
51881
51891
51903
51911
51921
51933
51941
51951
51963
51971
51981
51993

FAQ

What is the Greatest Common Divisor of 51 and 85?

GCF (HCF) of 51 and 85 is 17

How to find the GCF of 51 and 85?

You can find the GCF of 51 and 85 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 51 and 85 is 17.

What prime factors do 51 and 85 share?

The prime factorizations of 51 and 85 have 17 in common, and multiplying those shared primes gives 17 — exactly the greatest common factor.

How does the GCF reduce the fraction 51/85?

Divide the numerator and the denominator by the GCF 17: 51 ÷ 17 = 3 and 85 ÷ 17 = 5. So 51/85 in lowest terms is 3/5.

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