GCF (HCF) of 60 and 175

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What is the Greatest Common Divisor of 60 and 175?

Answer

GCF (HCF) of 60 and 175 is
5

Common factors: 1, 5

5 divides both: 60 ÷ 5 = 12, 175 ÷ 5 = 35 — and 12 and 35 share no factor but 1, so no larger number divides both.

60 = 22 × 3 × 5

175 = 52 × 7

Prime60175Lowest power
222——
33——
55525
7—7—

— = 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
608020
609030
6010020
6010515
6010812
6011010
601155
6012060
6013212
6013515
6014020
601455
6015030
6016515
6017010
601755
6018060
601855
6019515
6020020
602055
6021030
6022020
6022515
602455
6025010
6026020
602755
6029010
603255

FAQ

What is the Greatest Common Divisor of 60 and 175?

GCF (HCF) of 60 and 175 is 5

How to find the GCF of 60 and 175?

You can find the GCF of 60 and 175 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 60 and 175 is 5.

What prime factors do 60 and 175 share?

The prime factorizations of 60 and 175 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

How does the GCF reduce the fraction 60/175?

Divide the numerator and the denominator by the GCF 5: 60 ÷ 5 = 12 and 175 ÷ 5 = 35. So 60/175 in lowest terms is 12/35.

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