What is the Greatest Common Factor of 23264 and 23273?

Greatest common factor (GCF) of 23264 and 23273 is 1.

GCF(23264,23273) = 1

We will now calculate the prime factors of 23264 and 23273, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23264 and 23273.

How to find the GCF of 23264 and 23273?

We will first find the prime factorization of 23264 and 23273. After we will calculate the factors of 23264 and 23273 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 23273

Prime factors of 23273 are 17, 37. Prime factorization of 23273 in exponential form is:

23273 = 17¹ × 37²

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 23273

List of positive integer factors of 23273 that divides 23264 without a remainder.

1, 17, 37, 629, 1369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23264 and 23273. The biggest common factor number is the GCF number.
So the greatest common factor 23264 and 23273 is 1.

Also check out the Least Common Multiple of 23264 and 23273