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GCF (HCF) of 60 and 450

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 60 and 450?

Answer

GCF (HCF) of 60 and 450 is

30

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

30 divides both: 60 ÷ 30 = 2, 450 ÷ 30 = 15 — and 2 and 15 share no factor but 1, so no larger number divides both.

60 = 2² × 3 × 5

450 = 2 × 3² × 5²

Prime	60	450	Lowest power
2	2²	2	2
3	3	3²	3
5	5	5²	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 60 and 450. The GCF of 60 and 450 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
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
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	425	5
60	430	10
60	435	15
60	450	30
60	470	10
60	495	15

FAQ

What is the Greatest Common Divisor of 60 and 450?

GCF (HCF) of 60 and 450 is 30

How to find the GCF of 60 and 450?

You can find the GCF of 60 and 450 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 60 and 450 is 30.

What prime factors do 60 and 450 share?

The prime factorizations of 60 and 450 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 60/450?

Divide the numerator and the denominator by the GCF 30: 60 ÷ 30 = 2 and 450 ÷ 30 = 15. So 60/450 in lowest terms is 2/15.