GCF (HCF) of 40 and 90

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What is the Greatest Common Divisor of 40 and 90?

Answer

GCF (HCF) of 40 and 90 is
10

Common factors: 1, 2, 5, 10

10 divides both: 40 ÷ 10 = 4, 90 ÷ 10 = 9 — and 4 and 9 share no factor but 1, so no larger number divides both.

40 = 23 × 5

90 = 2 × 32 × 5

Prime4090Lowest power
22322
3—32—
5555

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

GCF = 2 × 5 = 10

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GCF Table

Number 1Number 2GCF
40542
40555
40568
40582
40591
406020
40631
40648
40655
40662
407010
40728
408040
40844
40855
409010
40968
4010020
4011010
4012040
401255
4013010
401448
401555
4016040
401655
4018020
4021010
4022020
4024040

FAQ

What is the Greatest Common Divisor of 40 and 90?

GCF (HCF) of 40 and 90 is 10

How to find the GCF of 40 and 90?

You can find the GCF of 40 and 90 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 40 and 90 is 10.

What prime factors do 40 and 90 share?

The prime factorizations of 40 and 90 have 2 × 5 in common, and multiplying those shared primes gives 10 — exactly the greatest common factor.

How does the GCF reduce the fraction 40/90?

Divide the numerator and the denominator by the GCF 10: 40 ÷ 10 = 4 and 90 ÷ 10 = 9. So 40/90 in lowest terms is 4/9.

See Also