GCF for 6, 18 and 30

"Greatest Common Factor of 3 Numbers" Calculator

What's the Greatest Common Factor (GCF) of 6, 18 and 30?

Answer

GCF of 6, 18 and 30 is

Common factors: 1, 2, 3, 6

6 divides all three: 6 ÷ 6 = 1, 18 ÷ 6 = 3, 30 ÷ 6 = 5 — and 1, 3 and 5 have no factor but 1 common to all of them, so no larger number divides all three.

6 = 2 × 3

18 = 2 × 3²

30 = 2 × 3 × 5

Prime	6	18	30	Lowest power
2	2	2	2	2
3	3	3²	3	3
5	—	—	5	—

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

GCF = 2 × 3 = 6

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Related Calculations

GCF Table

1st	2nd	3rd	GCF
6	15	18	3
6	16	18	2
6	17	18	1
6	18	18	6
6	18	19	1
6	18	20	2
6	18	21	3
6	18	22	2
6	18	23	1
6	18	24	6
6	18	25	1
6	18	26	2
6	18	27	3
6	18	28	2
6	18	29	1
6	18	30	6
6	18	31	1
6	18	32	2
6	18	33	3
6	18	34	2
6	18	35	1
6	18	36	6
6	18	37	1
6	18	38	2
6	18	39	3
6	18	40	2
6	18	41	1
6	18	42	6
6	18	43	1
6	18	44	2

FAQ

What's the Greatest Common Factor (GCF) of 6, 18 and 30?

GCF of 6, 18 and 30 is 6

What prime factors do 6, 18 and 30 share?

All three factorizations contain 2 × 3, and multiplying those shared primes gives 6 — exactly the greatest common factor.

Can you get the GCF of 6, 18 and 30 two numbers at a time?

Yes. The GCF of 6 and 18 is 6, and the GCF of 6 and 30 is 6 — 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 6 : 18 : 30?

Divide every term by the GCF 6: 6 ÷ 6 = 1, 18 ÷ 6 = 3 and 30 ÷ 6 = 5. So 6 : 18 : 30 in lowest terms is 1 : 3 : 5, and no whole number other than 1 divides all three of those.

GCF for 6, 18 and 30

What's the Greatest Common Factor (GCF) of 6, 18 and 30?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What's the Greatest Common Factor (GCF) of 6, 18 and 30?

What prime factors do 6, 18 and 30 share?

Can you get the GCF of 6, 18 and 30 two numbers at a time?

How does the GCF simplify the ratio 6 : 18 : 30?

See Also

1st	2nd	3rd	GCF
6	15	18	3
6	16	18	2
6	17	18	1
6	18	18	6
6	18	19	1
6	18	20	2
6	18	21	3
6	18	22	2
6	18	23	1
6	18	24	6
6	18	25	1
6	18	26	2
6	18	27	3
6	18	28	2
6	18	29	1
6	18	30	6
6	18	31	1
6	18	32	2
6	18	33	3
6	18	34	2
6	18	35	1
6	18	36	6
6	18	37	1
6	18	38	2
6	18	39	3
6	18	40	2
6	18	41	1
6	18	42	6
6	18	43	1
6	18	44	2

1st	2nd	3rd	GCF
6	15	18	3
6	16	18	2
6	17	18	1
6	18	18	6
6	18	19	1
6	18	20	2
6	18	21	3
6	18	22	2
6	18	23	1
6	18	24	6
6	18	25	1
6	18	26	2
6	18	27	3
6	18	28	2
6	18	29	1
6	18	30	6
6	18	31	1
6	18	32	2
6	18	33	3
6	18	34	2
6	18	35	1
6	18	36	6
6	18	37	1
6	18	38	2
6	18	39	3
6	18	40	2
6	18	41	1
6	18	42	6
6	18	43	1
6	18	44	2

1st	2nd	3rd	GCF
6	15	18	3
6	16	18	2
6	17	18	1
6	18	18	6
6	18	19	1
6	18	20	2
6	18	21	3
6	18	22	2
6	18	23	1
6	18	24	6
6	18	25	1
6	18	26	2
6	18	27	3
6	18	28	2
6	18	29	1
6	18	30	6
6	18	31	1
6	18	32	2
6	18	33	3
6	18	34	2
6	18	35	1
6	18	36	6
6	18	37	1
6	18	38	2
6	18	39	3
6	18	40	2
6	18	41	1
6	18	42	6
6	18	43	1
6	18	44	2