GCF for 3, 6 and 12

"Greatest Common Factor of 3 Numbers" Calculator

What's the Greatest Common Factor (GCF) of 3, 6 and 12?

Answer

GCF of 3, 6 and 12 is

Common factors: 1, 3

3 divides all three: 3 ÷ 3 = 1, 6 ÷ 3 = 2, 12 ÷ 3 = 4 — and 1, 2 and 4 have no factor but 1 common to all of them, so no larger number divides all three.

3 — prime

6 = 2 × 3

12 = 2² × 3

Prime	3	6	12	Lowest power
2	—	2	2²	—
3	3	3	3	3

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

GCF = 3

More with these numbers

Related Calculations

GCF Table

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

FAQ

What's the Greatest Common Factor (GCF) of 3, 6 and 12?

GCF of 3, 6 and 12 is 3

What prime factors do 3, 6 and 12 share?

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

Can you get the GCF of 3, 6 and 12 two numbers at a time?

Yes. The GCF of 3 and 6 is 3, and the GCF of 3 and 12 is 3 — 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 3 : 6 : 12?

Divide every term by the GCF 3: 3 ÷ 3 = 1, 6 ÷ 3 = 2 and 12 ÷ 3 = 4. So 3 : 6 : 12 in lowest terms is 1 : 2 : 4, and no whole number other than 1 divides all three of those.

GCF for 3, 6 and 12

What's the Greatest Common Factor (GCF) of 3, 6 and 12?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What's the Greatest Common Factor (GCF) of 3, 6 and 12?

What prime factors do 3, 6 and 12 share?

Can you get the GCF of 3, 6 and 12 two numbers at a time?

How does the GCF simplify the ratio 3 : 6 : 12?

See Also

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

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

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