GCF (HCF) of 40 and 120

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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

Prime40120Lowest power
2232323
3—3—
5555

— = 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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GCF Table

Number 1Number 2GCF
40582
40591
406020
40631
40648
40655
40662
407010
40728
408040
40844
40855
409010
4010020
4011010
4012040
401255
4013010
401355
401448
401555
4016040
401655
4018020
4021010
4022020
4024040
402455
4025010
4026020

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.

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