What is the Greatest Common Factor of 28227 and 28239?

Greatest common factor (GCF) of 28227 and 28239 is 3.

GCF(28227,28239) = 3

We will now calculate the prime factors of 28227 and 28239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28227 and 28239.

How to find the GCF of 28227 and 28239?

We will first find the prime factorization of 28227 and 28239. After we will calculate the factors of 28227 and 28239 and find the biggest common factor number .

Step-1: Prime Factorization of 28227

Prime factors of 28227 are 3, 97. Prime factorization of 28227 in exponential form is:

28227 = 3¹ × 97²

Step-2: Prime Factorization of 28239

Prime factors of 28239 are 3, 9413. Prime factorization of 28239 in exponential form is:

28239 = 3¹ × 9413¹

Step-3: Factors of 28227

List of positive integer factors of 28227 that divides 28227 without a remainder.

1, 3, 97, 291, 9409

Step-4: Factors of 28239

List of positive integer factors of 28239 that divides 28227 without a remainder.

1, 3, 9413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28227 and 28239. The biggest common factor number is the GCF number.
So the greatest common factor 28227 and 28239 is 3.

Also check out the Least Common Multiple of 28227 and 28239