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GCF (HCF) of 65 and 100

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 65 and 100?

Answer

GCF (HCF) of 65 and 100 is

5

Common factors: 1, 5

5 divides both: 65 ÷ 5 = 13, 100 ÷ 5 = 20 — and 13 and 20 share no factor but 1, so no larger number divides both.

65 = 5 × 13

100 = 2² × 5²

Prime	65	100	Lowest power
2	—	2²	—
5	5	5²	5
13	13	—	—

— = 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 65 and 100. The GCF of 65 and 100 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
65	85	5
65	86	1
65	87	1
65	88	1
65	89	1
65	90	5
65	91	13
65	92	1
65	93	1
65	94	1
65	95	5
65	96	1
65	97	1
65	98	1
65	99	1
65	100	5
65	101	1
65	102	1
65	103	1
65	104	13
65	105	5
65	106	1
65	107	1
65	108	1
65	109	1
65	110	5
65	111	1
65	112	1
65	113	1
65	114	1

FAQ

What is the Greatest Common Divisor of 65 and 100?

GCF (HCF) of 65 and 100 is 5

How to find the GCF of 65 and 100?

You can find the GCF of 65 and 100 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 65 and 100 is 5.

What prime factors do 65 and 100 share?

The prime factorizations of 65 and 100 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

How does the GCF reduce the fraction 65/100?

Divide the numerator and the denominator by the GCF 5: 65 ÷ 5 = 13 and 100 ÷ 5 = 20. So 65/100 in lowest terms is 13/20.