What is the Greatest Common Factor of 23264 and 23271?

Greatest common factor (GCF) of 23264 and 23271 is 1.

GCF(23264,23271) = 1

We will now calculate the prime factors of 23264 and 23271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23264 and 23271.

How to find the GCF of 23264 and 23271?

We will first find the prime factorization of 23264 and 23271. After we will calculate the factors of 23264 and 23271 and find the biggest common factor number .

Step-1: Prime Factorization of 23264

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

23264 = 2⁵ × 727¹

Step-2: Prime Factorization of 23271

Prime factors of 23271 are 3, 7757. Prime factorization of 23271 in exponential form is:

23271 = 3¹ × 7757¹

Step-3: Factors of 23264

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

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

Step-4: Factors of 23271

List of positive integer factors of 23271 that divides 23264 without a remainder.

1, 3, 7757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23264 and 23271. The biggest common factor number is the GCF number.
So the greatest common factor 23264 and 23271 is 1.

Also check out the Least Common Multiple of 23264 and 23271