GCF (HCF) of 225 and 315

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What is the Greatest Common Divisor of 225 and 315?

Answer

GCF (HCF) of 225 and 315 is
45

Common factors: 1, 3, 5, 9, 15, 45

45 divides both: 225 ÷ 45 = 5, 315 ÷ 45 = 7 — and 5 and 7 share no factor but 1, so no larger number divides both.

225 = 32 × 52

315 = 32 × 5 × 7

Prime225315Lowest power
3323232
55255
7—7—

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

GCF = 32 × 5 = 45

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GCF Table

Number 1Number 2GCF
22530075
2253011
2253021
2253033
2253041
2253055
2253069
2253071
2253081
2253093
2253105
2253111
2253123
2253131
2253141
22531545
2253161
2253171
2253183
2253191
2253205
2253213
2253221
2253231
2253249
22532525
2253261
2253273
2253281
2253291

FAQ

What is the Greatest Common Divisor of 225 and 315?

GCF (HCF) of 225 and 315 is 45

How to find the GCF of 225 and 315?

You can find the GCF of 225 and 315 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 225 and 315 is 45.

What prime factors do 225 and 315 share?

The prime factorizations of 225 and 315 have 3 × 3 × 5 in common, and multiplying those shared primes gives 45 — exactly the greatest common factor.

How does the GCF reduce the fraction 225/315?

Divide the numerator and the denominator by the GCF 45: 225 ÷ 45 = 5 and 315 ÷ 45 = 7. So 225/315 in lowest terms is 5/7.

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