GCF (HCF) of 40 and 65

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What is the Greatest Common Divisor of 40 and 65?

Answer

GCF (HCF) of 40 and 65 is
5

Common factors: 1, 5

5 divides both: 40 ÷ 5 = 8, 65 ÷ 5 = 13 — and 8 and 13 share no factor but 1, so no larger number divides both.

40 = 23 × 5

65 = 5 × 13

Prime4065Lowest power
223——
5555
13—13—

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

GCF = 5

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GCF Table

Number 1Number 2GCF
40462
40471
40488
40491
405010
40524
40531
40542
40555
40568
40582
40591
406020
40631
40648
40655
40662
407010
40728
408040
40844
40855
409010
4010020
4011010
4012040
401255
4013010
401355
401448

FAQ

What is the Greatest Common Divisor of 40 and 65?

GCF (HCF) of 40 and 65 is 5

How to find the GCF of 40 and 65?

You can find the GCF of 40 and 65 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 40 and 65 is 5.

What prime factors do 40 and 65 share?

The prime factorizations of 40 and 65 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

How does the GCF reduce the fraction 40/65?

Divide the numerator and the denominator by the GCF 5: 40 ÷ 5 = 8 and 65 ÷ 5 = 13. So 40/65 in lowest terms is 8/13.

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