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GCF (HCF) of 10 and 320

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 10 and 320?

Answer

GCF (HCF) of 10 and 320 is

10

Common factors: 1, 2, 5, 10

10 divides 320 (320 ÷ 10 = 32), so the GCF is the smaller number itself.

10 = 2 × 5

320 = 2⁶ × 5

Prime	10	320	Lowest power
2	2	2⁶	2
5	5	5	5

GCF = 2 × 5 = 10

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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 320. The GCF of 10 and 320 is 10 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.

https://calculat.io/en/number/greatest-common-factor-of/10--320/generated.jpg

GCF Table

Number 1	Number 2	GCF
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
10	150	10
10	165	5
10	170	10
10	180	10
10	200	10
10	210	10
10	230	10
10	290	10
10	310	10
10	320	10
10	365	5
10	375	5
10	395	5
10	415	5
10	430	10
10	485	5
10	1,000	10

FAQ

What is the Greatest Common Divisor of 10 and 320?

GCF (HCF) of 10 and 320 is 10

How to find the GCF of 10 and 320?

You can find the GCF of 10 and 320 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 10 and 320 is 10.

What prime factors do 10 and 320 share?

The prime factorizations of 10 and 320 have 2 × 5 in common, and multiplying those shared primes gives 10 — exactly the greatest common factor.

How does the GCF reduce the fraction 10/320?

Divide the numerator and the denominator by the GCF 10: 10 ÷ 10 = 1 and 320 ÷ 10 = 32. So 10/320 in lowest terms is 1/32.