GCF (HCF) of 59 and 118

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Greatest Common Factor of
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What is the Greatest Common Divisor of 59 and 118?

Answer

GCF (HCF) of 59 and 118 is
59

Common factors: 1, 59

59 divides 118 (118 ÷ 59 = 2), so the GCF is the smaller number itself.

59 — prime

118 = 2 × 59

Prime59118Lowest power
2—2—
59595959

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

GCF = 59

See Also

GCF Table

Number 1Number 2GCF
591031
591041
591051
591061
591071
591081
591091
591101
591111
591121
591131
591141
591151
591161
591171
5911859
591191
591201
591211
591221
591231
591241
591251
591261
591271
591281
591291
591301
591311
591321

FAQ

What is the Greatest Common Divisor of 59 and 118?

GCF (HCF) of 59 and 118 is 59

How to find the GCF of 59 and 118?

You can find the GCF of 59 and 118 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 59 and 118 is 59.

What prime factors do 59 and 118 share?

The prime factorizations of 59 and 118 have 59 in common, and multiplying those shared primes gives 59 — exactly the greatest common factor.

How does the GCF reduce the fraction 59/118?

Divide the numerator and the denominator by the GCF 59: 59 ÷ 59 = 1 and 118 ÷ 59 = 2. So 59/118 in lowest terms is 1/2.