GCF (HCF) of 40 and 460

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What is the Greatest Common Divisor of 40 and 460?

Answer

GCF (HCF) of 40 and 460 is
20

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

20 divides both: 40 ÷ 20 = 2, 460 ÷ 20 = 23 — and 2 and 23 share no factor but 1, so no larger number divides both.

40 = 23 × 5

460 = 22 × 5 × 23

Prime40460Lowest power
2232222
5555
23—23—

— = 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
4022020
4024040
402455
4025010
4026020
402655
402755
403055
4031010
403155
4032040
403255
4033010
403355
4034020
403455
4035010
403755
4039010
4040040
404055
4041010
404255
4043010
404355
404455
404555
4046020
404655
404755

FAQ

What is the Greatest Common Divisor of 40 and 460?

GCF (HCF) of 40 and 460 is 20

How to find the GCF of 40 and 460?

You can find the GCF of 40 and 460 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 40 and 460 is 20.

What prime factors do 40 and 460 share?

The prime factorizations of 40 and 460 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 40/460?

Divide the numerator and the denominator by the GCF 20: 40 ÷ 20 = 2 and 460 ÷ 20 = 23. So 40/460 in lowest terms is 2/23.

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