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GCF (HCF) of 40 and 460

"Greatest Common Factor" Calculator

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

Prime	40	460	Lowest power
2	2³	2²	2²
5	5	5	5
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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See Also

Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers

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What is the GCF (HCF) of 40 and 460. The GCF of 40 and 460 is 20 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.

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GCF Table

Number 1	Number 2	GCF
40	220	20
40	240	40
40	245	5
40	250	10
40	260	20
40	265	5
40	275	5
40	305	5
40	310	10
40	315	5
40	320	40
40	325	5
40	330	10
40	335	5
40	340	20
40	345	5
40	350	10
40	375	5
40	390	10
40	400	40
40	405	5
40	410	10
40	425	5
40	430	10
40	435	5
40	445	5
40	455	5
40	460	20
40	465	5
40	475	5

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.