GCF for 30, 60 and 90

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Greatest Common Factor of
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What's the Greatest Common Factor (GCF) of 30, 60 and 90?

Answer

GCF of 30, 60 and 90 is
30

Common factors: 1, 2, 3, 5, 6, 10, 15, 30

30 divides all three: 30 ÷ 30 = 1, 60 ÷ 30 = 2, 90 ÷ 30 = 3 — and 1, 2 and 3 have no factor but 1 common to all of them, so no larger number divides all three.

30 = 2 × 3 × 5

60 = 22 × 3 × 5

90 = 2 × 32 × 5

Prime306090Lowest power
222222
333323
55555

GCF = 2 × 3 × 5 = 30

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GCF Table

1st2nd3rdGCF
30607515
3060762
3060771
3060786
3060791
30608010
3060813
3060822
3060831
3060846
3060855
3060862
3060873
3060882
3060891
30609030
3060911
3060922
3060933
3060942
3060955
3060966
3060971
3060982
3060993
306010010
30601011
30601026
30601031
30601042

FAQ

What's the Greatest Common Factor (GCF) of 30, 60 and 90?

GCF of 30, 60 and 90 is 30

What prime factors do 30, 60 and 90 share?

All three factorizations contain 2 × 3 × 5, and multiplying those shared primes gives 30 — exactly the greatest common factor.

Can you get the GCF of 30, 60 and 90 two numbers at a time?

Yes. The GCF of 30 and 60 is 30, and the GCF of 30 and 90 is 30 — 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 30 : 60 : 90?

Divide every term by the GCF 30: 30 ÷ 30 = 1, 60 ÷ 30 = 2 and 90 ÷ 30 = 3. So 30 : 60 : 90 in lowest terms is 1 : 2 : 3, and no whole number other than 1 divides all three of those.

See Also