GCF (HCF) of 75 and 85

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Greatest Common Factor of
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What is the Greatest Common Divisor of 75 and 85?

Answer

GCF (HCF) of 75 and 85 is
5

Common factors: 1, 5

5 divides both: 75 ÷ 5 = 15, 85 ÷ 5 = 17 — and 15 and 17 share no factor but 1, so no larger number divides both.

75 = 3 × 52

85 = 5 × 17

Prime7585Lowest power
33——
55255
17—17—

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

GCF = 5

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GCF Table

Number 1Number 2GCF
75705
75711
75723
75731
75741
757575
75761
75771
75783
75791
75805
75813
75821
75831
75843
75855
75861
75873
75881
75891
759015
75911
75921
75933
75941
75955
75963
75971
75981
75993

FAQ

What is the Greatest Common Divisor of 75 and 85?

GCF (HCF) of 75 and 85 is 5

How to find the GCF of 75 and 85?

You can find the GCF of 75 and 85 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 75 and 85 is 5.

What prime factors do 75 and 85 share?

The prime factorizations of 75 and 85 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

How does the GCF reduce the fraction 75/85?

Divide the numerator and the denominator by the GCF 5: 75 ÷ 5 = 15 and 85 ÷ 5 = 17. So 75/85 in lowest terms is 15/17.

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