GCF for 40, 60 and 100

"Greatest Common Factor of 3 Numbers" Calculator
Greatest Common Factor of
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What's the Greatest Common Factor (GCF) of 40, 60 and 100?

Answer

GCF of 40, 60 and 100 is
20

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

20 divides all three: 40 ÷ 20 = 2, 60 ÷ 20 = 3, 100 ÷ 20 = 5 — and 2, 3 and 5 have no factor but 1 common to all of them, so no larger number divides all three.

40 = 23 × 5

60 = 22 × 3 × 5

100 = 22 × 52

Prime4060100Lowest power
223222222
3—3——
555525

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

GCF = 22 × 5 = 20

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GCF Table

1st2nd3rdGCF
4060855
4060862
4060871
4060884
4060891
40609010
4060911
4060924
4060931
4060942
4060955
4060964
4060971
4060982
4060991
406010020
40601011
40601022
40601031
40601044
40601055
40601062
40601071
40601084
40601091
406011010
40601111
40601124
40601131
40601142

FAQ

What's the Greatest Common Factor (GCF) of 40, 60 and 100?

GCF of 40, 60 and 100 is 20

What prime factors do 40, 60 and 100 share?

All three factorizations contain 2 × 2 × 5, and multiplying those shared primes gives 20 — exactly the greatest common factor.

Can you get the GCF of 40, 60 and 100 two numbers at a time?

Yes. The GCF of 40 and 60 is 20, and the GCF of 20 and 100 is 20 — the same answer, because the greatest common factor is associative and does not depend on the order of the three numbers.

How does the GCF simplify the ratio 40 : 60 : 100?

Divide every term by the GCF 20: 40 ÷ 20 = 2, 60 ÷ 20 = 3 and 100 ÷ 20 = 5. So 40 : 60 : 100 in lowest terms is 2 : 3 : 5, and no whole number other than 1 divides all three of those.

See Also