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GCF (HCF) of 10 and 52

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 10 and 52?

Answer

GCF (HCF) of 10 and 52 is

2

Common factors: 1, 2

2 divides both: 10 ÷ 2 = 5, 52 ÷ 2 = 26 — and 5 and 26 share no factor but 1, so no larger number divides both.

10 = 2 × 5

52 = 2² × 13

Prime	10	52	Lowest power
2	2	2²	2
5	5	—	—
13	—	13	—

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

GCF = 2

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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 52. The GCF of 10 and 52 is 2 — 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	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
10	44	2
10	45	5
10	50	10
10	51	1
10	52	2
10	53	1
10	55	5
10	56	2
10	59	1
10	60	10
10	65	5
10	70	10
10	75	5
10	80	10
10	90	10
10	95	5
10	99	1
10	100	10
10	115	5

FAQ

What is the Greatest Common Divisor of 10 and 52?

GCF (HCF) of 10 and 52 is 2

How to find the GCF of 10 and 52?

You can find the GCF of 10 and 52 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 10 and 52 is 2.

What prime factors do 10 and 52 share?

The prime factorizations of 10 and 52 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.

How does the GCF reduce the fraction 10/52?

Divide the numerator and the denominator by the GCF 2: 10 ÷ 2 = 5 and 52 ÷ 2 = 26. So 10/52 in lowest terms is 5/26.