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GCF for 10, 12 and 15

"Greatest Common Factor of 3 Numbers" Calculator

What's the Greatest Common Factor (GCF) of 10, 12 and 15?

Answer

GCF of 10, 12 and 15 is

1

Common factors: 1

Only 1 divides all three: no prime is a factor of each of 10, 12 and 15.

Pairs do share factors — GCF(10, 12) = 2, GCF(10, 15) = 5, GCF(12, 15) = 3 — just none greater than 1 common to all three.

10 = 2 × 5

12 = 2² × 3

15 = 3 × 5

Prime	10	12	15	Lowest power
2	2	2²	—	—
3	—	3	3	—
5	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 10, 12 and 15? The GCF of 10, 12 and 15 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/10--12--15/generated.jpg

GCF Table

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

FAQ

What's the Greatest Common Factor (GCF) of 10, 12 and 15?

GCF of 10, 12 and 15 is 1

What prime factors do 10, 12 and 15 share?

None at all: 10, 12 and 15 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 10, 12 and 15 two numbers at a time?

Yes. The GCF of 10 and 12 is 2, and the GCF of 2 and 15 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 10 : 12 : 15?

Divide every term by the GCF 1: 10 ÷ 1 = 10, 12 ÷ 1 = 12 and 15 ÷ 1 = 15. So 10 : 12 : 15 in lowest terms is 10 : 12 : 15, and no whole number other than 1 divides all three of those.