GCF (HCF) of 60 and 225

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What is the Greatest Common Divisor of 60 and 225?

Answer

GCF (HCF) of 60 and 225 is
15

Common factors: 1, 3, 5, 15

15 divides both: 60 ÷ 15 = 4, 225 ÷ 15 = 15 — and 4 and 15 share no factor but 1, so no larger number divides both.

60 = 22 × 3 × 5

225 = 32 × 52

Prime60225Lowest power
222——
33323
55525

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

GCF = 3 × 5 = 15

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GCF Table

Number 1Number 2GCF
6013212
6013515
6014020
601455
6015030
6016515
6017010
601755
6018060
601855
6019515
6020020
602055
6021030
6022020
6022515
602455
6025010
6026020
602755
6029010
603255
603355
603555
6037515
603855
6039030
6040020
6042060
604255

FAQ

What is the Greatest Common Divisor of 60 and 225?

GCF (HCF) of 60 and 225 is 15

How to find the GCF of 60 and 225?

You can find the GCF of 60 and 225 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 60 and 225 is 15.

What prime factors do 60 and 225 share?

The prime factorizations of 60 and 225 have 3 × 5 in common, and multiplying those shared primes gives 15 — exactly the greatest common factor.

How does the GCF reduce the fraction 60/225?

Divide the numerator and the denominator by the GCF 15: 60 ÷ 15 = 4 and 225 ÷ 15 = 15. So 60/225 in lowest terms is 4/15.

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