GCF (HCF) of 40 and 180

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What is the Greatest Common Divisor of 40 and 180?

Answer

GCF (HCF) of 40 and 180 is
20

Common factors: 1, 2, 4, 5, 10, 20

20 divides both: 40 ÷ 20 = 2, 180 ÷ 20 = 9 — and 2 and 9 share no factor but 1, so no larger number divides both.

40 = 23 × 5

180 = 22 × 32 × 5

Prime40180Lowest power
2232222
3—32—
5555

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

GCF = 22 × 5 = 20

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GCF Table

Number 1Number 2GCF
40728
408040
40844
40855
409010
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

FAQ

What is the Greatest Common Divisor of 40 and 180?

GCF (HCF) of 40 and 180 is 20

How to find the GCF of 40 and 180?

You can find the GCF of 40 and 180 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 40 and 180 is 20.

What prime factors do 40 and 180 share?

The prime factorizations of 40 and 180 have 2 × 2 × 5 in common, and multiplying those shared primes gives 20 — exactly the greatest common factor.

How does the GCF reduce the fraction 40/180?

Divide the numerator and the denominator by the GCF 20: 40 ÷ 20 = 2 and 180 ÷ 20 = 9. So 40/180 in lowest terms is 2/9.

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