GCF (HCF) of 10 and 12

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 10 and 12?

Answer

GCF (HCF) of 10 and 12 is

Common factors: 1, 2

2 divides both: 10 ÷ 2 = 5, 12 ÷ 2 = 6 — and 5 and 6 share no factor but 1, so no larger number divides both.

10 = 2 × 5

12 = 2² × 3

Prime	10	12	Lowest power
2	2	2²	2
3	—	3	—
5	5	—	—

— = 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

Number 1	Number 2	GCF
10	5	5
10	8	2
10	11	1
10	12	2
10	13	1
10	14	2
10	15	5
10	16	2
10	18	2
10	20	10
10	21	1
10	22	2
10	23	1
10	24	2
10	25	5
10	26	2
10	27	1
10	28	2
10	29	1
10	30	10
10	32	2
10	33	1
10	34	2
10	35	5
10	36	2
10	38	2
10	39	1
10	40	10
10	43	1
10	44	2

FAQ

What is the Greatest Common Divisor of 10 and 12?

GCF (HCF) of 10 and 12 is 2

How to find the GCF of 10 and 12?

You can find the GCF of 10 and 12 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 10 and 12 is 2.

What prime factors do 10 and 12 share?

The prime factorizations of 10 and 12 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.

How does the GCF reduce the fraction 10/12?

Divide the numerator and the denominator by the GCF 2: 10 ÷ 2 = 5 and 12 ÷ 2 = 6. So 10/12 in lowest terms is 5/6.

GCF (HCF) of 10 and 12

What is the Greatest Common Divisor of 10 and 12?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 10 and 12?

How to find the GCF of 10 and 12?

What prime factors do 10 and 12 share?

How does the GCF reduce the fraction 10/12?

See Also

Number 1	Number 2	GCF
10	5	5
10	8	2
10	11	1
10	12	2
10	13	1
10	14	2
10	15	5
10	16	2
10	18	2
10	20	10
10	21	1
10	22	2
10	23	1
10	24	2
10	25	5
10	26	2
10	27	1
10	28	2
10	29	1
10	30	10
10	32	2
10	33	1
10	34	2
10	35	5
10	36	2
10	38	2
10	39	1
10	40	10
10	43	1
10	44	2

Number 1	Number 2	GCF
10	5	5
10	8	2
10	11	1
10	12	2
10	13	1
10	14	2
10	15	5
10	16	2
10	18	2
10	20	10
10	21	1
10	22	2
10	23	1
10	24	2
10	25	5
10	26	2
10	27	1
10	28	2
10	29	1
10	30	10
10	32	2
10	33	1
10	34	2
10	35	5
10	36	2
10	38	2
10	39	1
10	40	10
10	43	1
10	44	2

Number 1	Number 2	GCF
10	5	5
10	8	2
10	11	1
10	12	2
10	13	1
10	14	2
10	15	5
10	16	2
10	18	2
10	20	10
10	21	1
10	22	2
10	23	1
10	24	2
10	25	5
10	26	2
10	27	1
10	28	2
10	29	1
10	30	10
10	32	2
10	33	1
10	34	2
10	35	5
10	36	2
10	38	2
10	39	1
10	40	10
10	43	1
10	44	2