GCF (HCF) of 40 and 320

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What is the Greatest Common Divisor of 40 and 320?

Answer

GCF (HCF) of 40 and 320 is
40

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

40 divides 320 (320 ÷ 40 = 8), so the GCF is the smaller number itself.

40 = 23 × 5

320 = 26 × 5

Prime40320Lowest power
2232623
5555

GCF = 23 × 5 = 40

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GCF Table

Number 1Number 2GCF
401448
401555
4016040
401655
4018020
4021010
4022020
4024040
402455
4025010
4026020
402655
402755
4031010
403155
4032040
403255
4033010
403355
4034020
4035010
4040040
404055
4041010
4043010
404355
404455
4046020
404655
404755

FAQ

What is the Greatest Common Divisor of 40 and 320?

GCF (HCF) of 40 and 320 is 40

How to find the GCF of 40 and 320?

You can find the GCF of 40 and 320 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 40 and 320 is 40.

What prime factors do 40 and 320 share?

The prime factorizations of 40 and 320 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 40/320?

Divide the numerator and the denominator by the GCF 40: 40 ÷ 40 = 1 and 320 ÷ 40 = 8. So 40/320 in lowest terms is 1/8.

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