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GCF (HCF) of 40 and 120

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 40 and 120?

Answer

GCF (HCF) of 40 and 120 is

40

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

40 divides 120 (120 ÷ 40 = 3), so the GCF is the smaller number itself.

40 = 2³ × 5

120 = 2³ × 3 × 5

Prime	40	120	Lowest power
2	2³	2³	2³
3	—	3	—
5	5	5	5

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

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 120. The GCF of 40 and 120 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	58	2
40	59	1
40	60	20
40	63	1
40	64	8
40	65	5
40	66	2
40	70	10
40	72	8
40	80	40
40	84	4
40	85	5
40	90	10
40	100	20
40	110	10
40	120	40
40	125	5
40	130	10
40	135	5
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

FAQ

What is the Greatest Common Divisor of 40 and 120?

GCF (HCF) of 40 and 120 is 40

How to find the GCF of 40 and 120?

You can find the GCF of 40 and 120 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 40 and 120 is 40.

What prime factors do 40 and 120 share?

The prime factorizations of 40 and 120 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 40/120?

Divide the numerator and the denominator by the GCF 40: 40 ÷ 40 = 1 and 120 ÷ 40 = 3. So 40/120 in lowest terms is 1/3.