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GCF (HCF) of 65 and 104

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 65 and 104?

Answer

GCF (HCF) of 65 and 104 is

13

Common factors: 1, 13

13 divides both: 65 ÷ 13 = 5, 104 ÷ 13 = 8 — and 5 and 8 share no factor but 1, so no larger number divides both.

65 = 5 × 13

104 = 2³ × 13

Prime	65	104	Lowest power
2	—	2³	—
5	5	—	—
13	13	13	13

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

GCF = 13

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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 104. The GCF of 65 and 104 is 13 — 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	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
65	115	5
65	116	1
65	117	13
65	118	1

FAQ

What is the Greatest Common Divisor of 65 and 104?

GCF (HCF) of 65 and 104 is 13

How to find the GCF of 65 and 104?

You can find the GCF of 65 and 104 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 65 and 104 is 13.

What prime factors do 65 and 104 share?

The prime factorizations of 65 and 104 have 13 in common, and multiplying those shared primes gives 13 — exactly the greatest common factor.

How does the GCF reduce the fraction 65/104?

Divide the numerator and the denominator by the GCF 13: 65 ÷ 13 = 5 and 104 ÷ 13 = 8. So 65/104 in lowest terms is 5/8.