GCF of 59 and 118 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 59 and 118?

Answer

GCF of 59 and 118 is
59

(Fifty-nine)

Finding GCF for 59 and 118 using all factors (divisors) listing

The first method to find GCF for numbers 59 and 118 is to list all factors for both numbers and pick the highest common one:

All factors of 59: 1, 59

All factors of 118: 1, 2, 59, 118

So the Greatest Common Factor for 59 and 118 is 59

Finding GCF for 59 and 118 by Prime Factorization

The second method to find GCF for numbers 59 and 118 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 59: 59

All Prime Factors of 118: 2, 59

As we can see there is only one Prime Factor common to both numbers. It is 59

So 59 is the Greatest Common Factor of 59 and 118

See Also

About "Greatest Common Factor" Calculator

This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest Common Divisor of 59 and 118? (The answer is: 59). Select the first number (e.g. '59') and the second number (e.g. '118'). After that hit the 'Calculate' button.
Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder.
"Greatest Common Factor" Calculator
Greatest Common Factor of
and

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 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.