GCF (HCF) of 60 and 450

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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

Prime60450Lowest power
22222
33323
55525

GCF = 2 × 3 × 5 = 30

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GCF Table

Number 1Number 2GCF
6015030
6016515
6017010
601755
6018060
601855
6019515
6020020
602055
6021030
6022020
6022515
602455
6025010
6026020
602755
6029010
603255
603355
603555
6037515
603855
6039030
6040020
604255
6043010
6043515
6045030
6047010
6049515

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.

See Also