What is the Greatest Common Factor of 23258 and 23264?

Greatest common factor (GCF) of 23258 and 23264 is 2.

GCF(23258,23264) = 2

We will now calculate the prime factors of 23258 and 23264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23258 and 23264.

How to find the GCF of 23258 and 23264?

We will first find the prime factorization of 23258 and 23264. After we will calculate the factors of 23258 and 23264 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 23264

Prime factors of 23264 are 2, 727. Prime factorization of 23264 in exponential form is:

23264 = 2⁵ × 727¹

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 23264

List of positive integer factors of 23264 that divides 23258 without a remainder.

1, 2, 4, 8, 16, 32, 727, 1454, 2908, 5816, 11632

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23258 and 23264. The biggest common factor number is the GCF number.
So the greatest common factor 23258 and 23264 is 2.

Also check out the Least Common Multiple of 23258 and 23264