GCF for 2, 4 and 14

"Greatest Common Factor of 3 Numbers" Calculator

What's the Greatest Common Factor (GCF) of 2, 4 and 14?

Answer

GCF of 2, 4 and 14 is

Common factors: 1, 2

2 divides all three: 2 ÷ 2 = 1, 4 ÷ 2 = 2, 14 ÷ 2 = 7 — and 1, 2 and 7 have no factor but 1 common to all of them, so no larger number divides all three.

2 — prime

4 = 2²

14 = 2 × 7

Prime	2	4	14	Lowest power
2	2	2²	2	2
7	—	—	7	—

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

GCF = 2

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Related Calculations

GCF Table

1st	2nd	3rd	GCF
1	2	4	1
2	2	4	2
2	3	4	1
2	4	4	2
2	4	5	1
2	4	6	2
2	4	7	1
2	4	8	2
2	4	9	1
2	4	10	2
2	4	11	1
2	4	12	2
2	4	13	1
2	4	14	2
2	4	15	1
2	4	16	2
2	4	17	1
2	4	18	2
2	4	19	1
2	4	20	2
2	4	21	1
2	4	22	2
2	4	23	1
2	4	24	2
2	4	25	1
2	4	26	2
2	4	27	1
2	4	28	2
2	4	29	1
2	4	30	2

FAQ

What's the Greatest Common Factor (GCF) of 2, 4 and 14?

GCF of 2, 4 and 14 is 2

What prime factors do 2, 4 and 14 share?

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

Can you get the GCF of 2, 4 and 14 two numbers at a time?

Yes. The GCF of 2 and 4 is 2, and the GCF of 2 and 14 is 2 — 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 2 : 4 : 14?

Divide every term by the GCF 2: 2 ÷ 2 = 1, 4 ÷ 2 = 2 and 14 ÷ 2 = 7. So 2 : 4 : 14 in lowest terms is 1 : 2 : 7, and no whole number other than 1 divides all three of those.

GCF for 2, 4 and 14

What's the Greatest Common Factor (GCF) of 2, 4 and 14?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What's the Greatest Common Factor (GCF) of 2, 4 and 14?

What prime factors do 2, 4 and 14 share?

Can you get the GCF of 2, 4 and 14 two numbers at a time?

How does the GCF simplify the ratio 2 : 4 : 14?

See Also

1st	2nd	3rd	GCF
1	2	4	1
2	2	4	2
2	3	4	1
2	4	4	2
2	4	5	1
2	4	6	2
2	4	7	1
2	4	8	2
2	4	9	1
2	4	10	2
2	4	11	1
2	4	12	2
2	4	13	1
2	4	14	2
2	4	15	1
2	4	16	2
2	4	17	1
2	4	18	2
2	4	19	1
2	4	20	2
2	4	21	1
2	4	22	2
2	4	23	1
2	4	24	2
2	4	25	1
2	4	26	2
2	4	27	1
2	4	28	2
2	4	29	1
2	4	30	2

1st	2nd	3rd	GCF
1	2	4	1
2	2	4	2
2	3	4	1
2	4	4	2
2	4	5	1
2	4	6	2
2	4	7	1
2	4	8	2
2	4	9	1
2	4	10	2
2	4	11	1
2	4	12	2
2	4	13	1
2	4	14	2
2	4	15	1
2	4	16	2
2	4	17	1
2	4	18	2
2	4	19	1
2	4	20	2
2	4	21	1
2	4	22	2
2	4	23	1
2	4	24	2
2	4	25	1
2	4	26	2
2	4	27	1
2	4	28	2
2	4	29	1
2	4	30	2

1st	2nd	3rd	GCF
1	2	4	1
2	2	4	2
2	3	4	1
2	4	4	2
2	4	5	1
2	4	6	2
2	4	7	1
2	4	8	2
2	4	9	1
2	4	10	2
2	4	11	1
2	4	12	2
2	4	13	1
2	4	14	2
2	4	15	1
2	4	16	2
2	4	17	1
2	4	18	2
2	4	19	1
2	4	20	2
2	4	21	1
2	4	22	2
2	4	23	1
2	4	24	2
2	4	25	1
2	4	26	2
2	4	27	1
2	4	28	2
2	4	29	1
2	4	30	2