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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

5

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

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See Also

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

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What is the GCF (HCF) of 10 and 5. The GCF of 10 and 5 is 5 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.

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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	37	1
10	38	2
10	39	1
10	40	10
10	43	1

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.