GCF for 2, 12 and 16

"Greatest Common Factor of 3 Numbers" Calculator

What's the Greatest Common Factor (GCF) of 2, 12 and 16?

Answer

GCF of 2, 12 and 16 is

Common factors: 1, 2

2 divides all three: 2 ÷ 2 = 1, 12 ÷ 2 = 6, 16 ÷ 2 = 8 — and 1, 6 and 8 have no factor but 1 common to all of them, so no larger number divides all three.

2 — prime

12 = 2² × 3

16 = 2⁴

Prime	2	12	16	Lowest power
2	2	2²	2⁴	2
3	—	3	—	—

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

GCF = 2

More with these numbers

Related Calculations

GCF Table

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

FAQ

What's the Greatest Common Factor (GCF) of 2, 12 and 16?

GCF of 2, 12 and 16 is 2

What prime factors do 2, 12 and 16 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, 12 and 16 two numbers at a time?

Yes. The GCF of 2 and 12 is 2, and the GCF of 2 and 16 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 : 12 : 16?

Divide every term by the GCF 2: 2 ÷ 2 = 1, 12 ÷ 2 = 6 and 16 ÷ 2 = 8. So 2 : 12 : 16 in lowest terms is 1 : 6 : 8, and no whole number other than 1 divides all three of those.

GCF for 2, 12 and 16

What's the Greatest Common Factor (GCF) of 2, 12 and 16?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What's the Greatest Common Factor (GCF) of 2, 12 and 16?

What prime factors do 2, 12 and 16 share?

Can you get the GCF of 2, 12 and 16 two numbers at a time?

How does the GCF simplify the ratio 2 : 12 : 16?

See Also

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

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

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