GCF (HCF) of 10 and 5

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 10 and 5?

Answer

GCF (HCF) of 10 and 5 is

Common factors: 1, 5

5 divides 10 (10 ÷ 5 = 2), so the GCF is the smaller number itself.

10 = 2 × 5

5 — prime

Prime	10	5	Lowest power
2	2	—	—
5	5	5	5

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

GCF = 5

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 5?

GCF (HCF) of 10 and 5 is 5

How to find the GCF of 10 and 5?

You can find the GCF of 10 and 5 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 10 and 5 is 5.

What prime factors do 10 and 5 share?

The prime factorizations of 10 and 5 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

How does the GCF reduce the fraction 10/5?

Divide the numerator and the denominator by the GCF 5: 10 ÷ 5 = 2 and 5 ÷ 5 = 1. So 10/5 in lowest terms is 2/1.

GCF (HCF) of 10 and 5

What is the Greatest Common Divisor of 10 and 5?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 10 and 5?

How to find the GCF of 10 and 5?

What prime factors do 10 and 5 share?

How does the GCF reduce the fraction 10/5?

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