GCF (HCF) of 60 and 195

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What is the Greatest Common Divisor of 60 and 195?

Answer

GCF (HCF) of 60 and 195 is
15

Common factors: 1, 3, 5, 15

15 divides both: 60 ÷ 15 = 4, 195 ÷ 15 = 13 — and 4 and 13 share no factor but 1, so no larger number divides both.

60 = 22 × 3 × 5

195 = 3 × 5 × 13

Prime60195Lowest power
222——
3333
5555
13—13—

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

GCF = 3 × 5 = 15

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GCF Table

Number 1Number 2GCF
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
603355
603555
6037515

FAQ

What is the Greatest Common Divisor of 60 and 195?

GCF (HCF) of 60 and 195 is 15

How to find the GCF of 60 and 195?

You can find the GCF of 60 and 195 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 60 and 195 is 15.

What prime factors do 60 and 195 share?

The prime factorizations of 60 and 195 have 3 × 5 in common, and multiplying those shared primes gives 15 — exactly the greatest common factor.

How does the GCF reduce the fraction 60/195?

Divide the numerator and the denominator by the GCF 15: 60 ÷ 15 = 4 and 195 ÷ 15 = 13. So 60/195 in lowest terms is 4/13.

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