GCF (HCF) of 40 and 310

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What is the Greatest Common Divisor of 40 and 310?

Answer

GCF (HCF) of 40 and 310 is
10

Common factors: 1, 2, 5, 10

10 divides both: 40 ÷ 10 = 4, 310 ÷ 10 = 31 — and 4 and 31 share no factor but 1, so no larger number divides both.

40 = 23 × 5

310 = 2 × 5 × 31

Prime40310Lowest power
22322
5555
31—31—

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

GCF = 2 × 5 = 10

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GCF Table

Number 1Number 2GCF
401355
401448
401555
4016040
401655
4018020
4021010
4022020
4024040
402455
4025010
4026020
402655
402755
403055
4031010
403155
4032040
403255
4033010
403355
4034020
403455
4035010
403755
4039010
4040040
404055
4041010
404255

FAQ

What is the Greatest Common Divisor of 40 and 310?

GCF (HCF) of 40 and 310 is 10

How to find the GCF of 40 and 310?

You can find the GCF of 40 and 310 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 40 and 310 is 10.

What prime factors do 40 and 310 share?

The prime factorizations of 40 and 310 have 2 × 5 in common, and multiplying those shared primes gives 10 — exactly the greatest common factor.

How does the GCF reduce the fraction 40/310?

Divide the numerator and the denominator by the GCF 10: 40 ÷ 10 = 4 and 310 ÷ 10 = 31. So 40/310 in lowest terms is 4/31.

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