What is the Greatest Common Factor of 23264 and 23277?

Greatest common factor (GCF) of 23264 and 23277 is 1.

GCF(23264,23277) = 1

We will now calculate the prime factors of 23264 and 23277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23264 and 23277.

How to find the GCF of 23264 and 23277?

We will first find the prime factorization of 23264 and 23277. After we will calculate the factors of 23264 and 23277 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 23277

Prime factors of 23277 are 3, 7759. Prime factorization of 23277 in exponential form is:

23277 = 3¹ × 7759¹

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 23277

List of positive integer factors of 23277 that divides 23264 without a remainder.

1, 3, 7759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23264 and 23277. The biggest common factor number is the GCF number.
So the greatest common factor 23264 and 23277 is 1.

Also check out the Least Common Multiple of 23264 and 23277