What is the Greatest Common Factor of 23258 and 23269?

Greatest common factor (GCF) of 23258 and 23269 is 1.

GCF(23258,23269) = 1

We will now calculate the prime factors of 23258 and 23269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23258 and 23269.

How to find the GCF of 23258 and 23269?

We will first find the prime factorization of 23258 and 23269. After we will calculate the factors of 23258 and 23269 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23269

Prime factors of 23269 are 23269. Prime factorization of 23269 in exponential form is:

23269 = 23269¹

Step-3: Factors of 23258

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

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

Step-4: Factors of 23269

List of positive integer factors of 23269 that divides 23258 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23258 and 23269. The biggest common factor number is the GCF number.
So the greatest common factor 23258 and 23269 is 1.

Also check out the Least Common Multiple of 23258 and 23269