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GCF (HCF) of 60 and 420

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 60 and 420?

Answer

GCF (HCF) of 60 and 420 is

60

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

60 divides 420 (420 ÷ 60 = 7), so the GCF is the smaller number itself.

60 = 2² × 3 × 5

420 = 2² × 3 × 5 × 7

Prime	60	420	Lowest power
2	2²	2²	2²
3	3	3	3
5	5	5	5
7	—	7	—

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

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 420. The GCF of 60 and 420 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	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
60	250	10
60	260	20
60	275	5
60	290	10
60	325	5
60	335	5
60	355	5
60	375	15
60	385	5
60	390	30
60	400	20
60	420	60
60	425	5
60	430	10
60	435	15
60	450	30
60	460	20
60	470	10
60	495	15

FAQ

What is the Greatest Common Divisor of 60 and 420?

GCF (HCF) of 60 and 420 is 60

How to find the GCF of 60 and 420?

You can find the GCF of 60 and 420 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 60 and 420 is 60.

What prime factors do 60 and 420 share?

The prime factorizations of 60 and 420 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 60/420?

Divide the numerator and the denominator by the GCF 60: 60 ÷ 60 = 1 and 420 ÷ 60 = 7. So 60/420 in lowest terms is 1/7.