What is the Greatest Common Factor of 28899 and 28909?

Greatest common factor (GCF) of 28899 and 28909 is 1.

GCF(28899,28909) = 1

We will now calculate the prime factors of 28899 and 28909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28899 and 28909.

How to find the GCF of 28899 and 28909?

We will first find the prime factorization of 28899 and 28909. After we will calculate the factors of 28899 and 28909 and find the biggest common factor number .

Step-1: Prime Factorization of 28899

Prime factors of 28899 are 3, 13, 19. Prime factorization of 28899 in exponential form is:

28899 = 3² × 13² × 19¹

Step-2: Prime Factorization of 28909

Prime factors of 28909 are 28909. Prime factorization of 28909 in exponential form is:

28909 = 28909¹

Step-3: Factors of 28899

List of positive integer factors of 28899 that divides 28899 without a remainder.

1, 3, 9, 13, 19, 39, 57, 117, 169, 171, 247, 507, 741, 1521, 2223, 3211, 9633

Step-4: Factors of 28909

List of positive integer factors of 28909 that divides 28899 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28899 and 28909. The biggest common factor number is the GCF number.
So the greatest common factor 28899 and 28909 is 1.

Also check out the Least Common Multiple of 28899 and 28909