GCF (HCF) of 60 and 180

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What is the Greatest Common Divisor of 60 and 180?

Answer

GCF (HCF) of 60 and 180 is
60

Common factors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

60 divides 180 (180 ÷ 60 = 3), so the GCF is the smaller number itself.

60 = 22 × 3 × 5

180 = 22 × 32 × 5

Prime60180Lowest power
2222222
33323
5555

GCF = 22 × 3 × 5 = 60

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GCF Table

Number 1Number 2GCF
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
603355

FAQ

What is the Greatest Common Divisor of 60 and 180?

GCF (HCF) of 60 and 180 is 60

How to find the GCF of 60 and 180?

You can find the GCF of 60 and 180 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 60 and 180 is 60.

What prime factors do 60 and 180 share?

The prime factorizations of 60 and 180 have 2 × 2 × 3 × 5 in common, and multiplying those shared primes gives 60 — exactly the greatest common factor.

How does the GCF reduce the fraction 60/180?

Divide the numerator and the denominator by the GCF 60: 60 ÷ 60 = 1 and 180 ÷ 60 = 3. So 60/180 in lowest terms is 1/3.

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