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GCF (HCF) of 60 and 120

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 60 and 120?

Answer

GCF (HCF) of 60 and 120 is

60

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

60 divides 120 (120 ÷ 60 = 2), so the GCF is the smaller number itself.

60 = 2² × 3 × 5

120 = 2³ × 3 × 5

Prime	60	120	Lowest power
2	2²	2³	2²
3	3	3	3
5	5	5	5

GCF = 2² × 3 × 5 = 60

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See Also

Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers

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What is the GCF (HCF) of 60 and 120. The GCF of 60 and 120 is 60 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.

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GCF Table

Number 1	Number 2	GCF
60	60	60
60	66	6
60	70	10
60	72	12
60	75	15
60	80	20
60	90	30
60	100	20
60	105	15
60	108	12
60	110	10
60	115	5
60	120	60
60	132	12
60	135	15
60	140	20
60	145	5
60	150	30
60	165	15
60	170	10
60	175	5
60	180	60
60	185	5
60	195	15
60	200	20
60	205	5
60	210	30
60	220	20
60	225	15
60	245	5

FAQ

What is the Greatest Common Divisor of 60 and 120?

GCF (HCF) of 60 and 120 is 60

How to find the GCF of 60 and 120?

You can find the GCF of 60 and 120 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 60 and 120 is 60.

What prime factors do 60 and 120 share?

The prime factorizations of 60 and 120 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 60/120?

Divide the numerator and the denominator by the GCF 60: 60 ÷ 60 = 1 and 120 ÷ 60 = 2. So 60/120 in lowest terms is 1/2.