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GCF (HCF) of 30 and 360

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 30 and 360?

Answer

GCF (HCF) of 30 and 360 is

30

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

30 divides 360 (360 ÷ 30 = 12), so the GCF is the smaller number itself.

30 = 2 × 3 × 5

360 = 2³ × 3² × 5

Prime	30	360	Lowest power
2	2	2³	2
3	3	3²	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 360. The GCF of 30 and 360 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	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
30	180	30
30	195	15
30	210	30
30	235	5
30	238	2
30	290	10
30	305	5
30	330	30
30	340	10
30	350	10
30	360	30
30	375	15
30	405	15
30	415	5
30	435	15
30	440	10
30	445	5
30	470	10
30	480	30
30	485	5
30	495	15

FAQ

What is the Greatest Common Divisor of 30 and 360?

GCF (HCF) of 30 and 360 is 30

How to find the GCF of 30 and 360?

You can find the GCF of 30 and 360 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 30 and 360 is 30.

What prime factors do 30 and 360 share?

The prime factorizations of 30 and 360 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 30/360?

Divide the numerator and the denominator by the GCF 30: 30 ÷ 30 = 1 and 360 ÷ 30 = 12. So 30/360 in lowest terms is 1/12.