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GCF for 2, 5 and 12

"Greatest Common Factor of 3 Numbers" Calculator

What's the Greatest Common Factor (GCF) of 2, 5 and 12?

Answer

GCF of 2, 5 and 12 is

1

Common factors: 1

Only 1 divides all three: no prime is a factor of each of 2, 5 and 12.

Pairs do share factors — GCF(2, 12) = 2 — just none greater than 1 common to all three.

2 — prime

5 — prime

12 = 2² × 3

Prime	2	5	12	Lowest power
2	2	—	2²	—
3	—	—	3	—
5	—	5	—	—

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

GCF = 1

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See Also

Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers

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What is the GCF of 2, 5 and 12? The GCF of 2, 5 and 12 is 1 — the largest number that divides all three with no remainder. Step-by-step solution for three numbers.

https://calculat.io/en/number/greatest-common-factor-of-3-numbers/2--5--12/generated.jpg

GCF Table

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

FAQ

What's the Greatest Common Factor (GCF) of 2, 5 and 12?

GCF of 2, 5 and 12 is 1

What prime factors do 2, 5 and 12 share?

None at all: 2, 5 and 12 have no prime factor in common, so the only positive integer dividing all three is 1 and their GCF is 1.

Can you get the GCF of 2, 5 and 12 two numbers at a time?

Yes. The GCF of 2 and 5 is 1, and the GCF of 1 and 12 is 1 — 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 : 5 : 12?

Divide every term by the GCF 1: 2 ÷ 1 = 2, 5 ÷ 1 = 5 and 12 ÷ 1 = 12. So 2 : 5 : 12 in lowest terms is 2 : 5 : 12, and no whole number other than 1 divides all three of those.