GCF for 23 and 138

What is the Greatest common Divisor of 23 and 138?

Answer: GCF of 23 and 138 is 23

(Twenty-three)

Finding GCF for 23 and 138 using all factors (divisors) listing

The first method to find GCF for numbers 23 and 138 is to list all factors for both numbers and pick the highest common one:

All factors of 23: 1, 23

All factors of 138: 1, 2, 3, 6, 23, 46, 69, 138

So the Greatest Common Factor for 23 and 138 is 23

Finding GCF for 23 and 138 by Prime Factorization

The second method to find GCF for numbers 23 and 138 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 23: 23

All Prime Factors of 138: 2, 3, 23

As we can see there is only one Prime Factor common to both numbers. It is 23

So 23 is the Greatest Common Factor of 23 and 138

GCF Table

Number 1Number 2GCF
81382
91383
101382
111381
121386
131381
141382
151383
161382
171381
181386
191381
201382
211383
221382
23138
241386
251381
261382
271383
281382
291381
301386
311381
321382
331383
341382
351381
361386
371381

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 23 and 138? (The answer is: 23). Select the first number (e.g. '23') and the second number (e.g. '138'). 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

FAQ

What is the Greatest common Divisor of 23 and 138?

GCF of 23 and 138 is 23