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GCF (HCF) of 40 and 400

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 40 and 400?

Answer

GCF (HCF) of 40 and 400 is

40

Common factors: 1, 2, 4, 5, 8, 10, 20, 40

40 divides 400 (400 ÷ 40 = 10), so the GCF is the smaller number itself.

40 = 2³ × 5

400 = 2⁴ × 5²

Prime	40	400	Lowest power
2	2³	2⁴	2³
5	5	5²	5

GCF = 2³ × 5 = 40

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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 400. The GCF of 40 and 400 is 40 — 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	144	8
40	155	5
40	160	40
40	165	5
40	180	20
40	210	10
40	220	20
40	240	40
40	245	5
40	250	10
40	260	20
40	265	5
40	275	5
40	310	10
40	315	5
40	320	40
40	325	5
40	330	10
40	335	5
40	340	20
40	350	10
40	400	40
40	405	5
40	410	10
40	430	10
40	435	5
40	445	5
40	460	20
40	465	5
40	475	5

FAQ

What is the Greatest Common Divisor of 40 and 400?

GCF (HCF) of 40 and 400 is 40

How to find the GCF of 40 and 400?

You can find the GCF of 40 and 400 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 40 and 400 is 40.

What prime factors do 40 and 400 share?

The prime factorizations of 40 and 400 have 2 × 2 × 2 × 5 in common, and multiplying those shared primes gives 40 — exactly the greatest common factor.

How does the GCF reduce the fraction 40/400?

Divide the numerator and the denominator by the GCF 40: 40 ÷ 40 = 1 and 400 ÷ 40 = 10. So 40/400 in lowest terms is 1/10.