What is the Greatest Common Factor of 23239 and 23258?

Greatest common factor (GCF) of 23239 and 23258 is 1.

GCF(23239,23258) = 1

We will now calculate the prime factors of 23239 and 23258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23239 and 23258.

How to find the GCF of 23239 and 23258?

We will first find the prime factorization of 23239 and 23258. After we will calculate the factors of 23239 and 23258 and find the biggest common factor number .

Step-1: Prime Factorization of 23239

Prime factors of 23239 are 17, 1367. Prime factorization of 23239 in exponential form is:

23239 = 17¹ × 1367¹

Step-2: Prime Factorization of 23258

Prime factors of 23258 are 2, 29, 401. Prime factorization of 23258 in exponential form is:

23258 = 2¹ × 29¹ × 401¹

Step-3: Factors of 23239

List of positive integer factors of 23239 that divides 23239 without a remainder.

1, 17, 1367

Step-4: Factors of 23258

List of positive integer factors of 23258 that divides 23239 without a remainder.

1, 2, 29, 58, 401, 802, 11629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23239 and 23258. The biggest common factor number is the GCF number.
So the greatest common factor 23239 and 23258 is 1.

Also check out the Least Common Multiple of 23239 and 23258