GCF (HCF) of 65 and 104

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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

Prime65104Lowest power
2—23—
55——
13131313

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

GCF = 13

See Also

GCF Table

Number 1Number 2GCF
65891
65905
659113
65921
65931
65941
65955
65961
65971
65981
65991
651005
651011
651021
651031
6510413
651055
651061
651071
651081
651091
651105
651111
651121
651131
651141
651155
651161
6511713
651181

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.