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GCF (HCF) of 30 and 60

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 30 and 60?

Answer

GCF (HCF) of 30 and 60 is

30

Common factors: 1, 2, 3, 5, 6, 10, 15, 30

30 divides 60 (60 ÷ 30 = 2), so the GCF is the smaller number itself.

30 = 2 × 3 × 5

60 = 2² × 3 × 5

Prime	30	60	Lowest power
2	2	2²	2
3	3	3	3
5	5	5	5

GCF = 2 × 3 × 5 = 30

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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 30 and 60. The GCF of 30 and 60 is 30 — 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
30	40	10
30	42	6
30	43	1
30	44	2
30	45	15
30	48	6
30	49	1
30	50	10
30	51	3
30	52	2
30	53	1
30	54	6
30	55	5
30	56	2
30	58	2
30	60	30
30	70	10
30	75	15
30	80	10
30	96	6
30	100	10
30	105	15
30	110	10
30	115	5
30	120	30
30	130	10
30	135	15
30	150	30
30	165	15
30	170	10

FAQ

What is the Greatest Common Divisor of 30 and 60?

GCF (HCF) of 30 and 60 is 30

How to find the GCF of 30 and 60?

You can find the GCF of 30 and 60 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 30 and 60 is 30.

What prime factors do 30 and 60 share?

The prime factorizations of 30 and 60 have 2 × 3 × 5 in common, and multiplying those shared primes gives 30 — exactly the greatest common factor.

How does the GCF reduce the fraction 30/60?

Divide the numerator and the denominator by the GCF 30: 30 ÷ 30 = 1 and 60 ÷ 30 = 2. So 30/60 in lowest terms is 1/2.