What is the Greatest Common Factor of 23252 and 23258?

Greatest common factor (GCF) of 23252 and 23258 is 2.

GCF(23252,23258) = 2

We will now calculate the prime factors of 23252 and 23258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23252 and 23258.

How to find the GCF of 23252 and 23258?

We will first find the prime factorization of 23252 and 23258. After we will calculate the factors of 23252 and 23258 and find the biggest common factor number .

Step-1: Prime Factorization of 23252

Prime factors of 23252 are 2, 5813. Prime factorization of 23252 in exponential form is:

23252 = 2² × 5813¹

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 23252

List of positive integer factors of 23252 that divides 23252 without a remainder.

1, 2, 4, 5813, 11626

Step-4: Factors of 23258

List of positive integer factors of 23258 that divides 23252 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23252 and 23258. The biggest common factor number is the GCF number.
So the greatest common factor 23252 and 23258 is 2.

Also check out the Least Common Multiple of 23252 and 23258