GCF (HCF) of 40 and 250

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Greatest Common Factor of
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What is the Greatest Common Divisor of 40 and 250?

Answer

GCF (HCF) of 40 and 250 is
10

Common factors: 1, 2, 5, 10

10 divides both: 40 ÷ 10 = 4, 250 ÷ 10 = 25 — and 4 and 25 share no factor but 1, so no larger number divides both.

40 = 23 × 5

250 = 2 × 53

Prime40250Lowest power
22322
55535

GCF = 2 × 5 = 10

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GCF Table

Number 1Number 2GCF
4010020
4011010
4012040
401255
4013010
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

FAQ

What is the Greatest Common Divisor of 40 and 250?

GCF (HCF) of 40 and 250 is 10

How to find the GCF of 40 and 250?

You can find the GCF of 40 and 250 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 40 and 250 is 10.

What prime factors do 40 and 250 share?

The prime factorizations of 40 and 250 have 2 × 5 in common, and multiplying those shared primes gives 10 — exactly the greatest common factor.

How does the GCF reduce the fraction 40/250?

Divide the numerator and the denominator by the GCF 10: 40 ÷ 10 = 4 and 250 ÷ 10 = 25. So 40/250 in lowest terms is 4/25.

See Also