What is the Greatest Common Factor of 28899 and 28918?

Greatest common factor (GCF) of 28899 and 28918 is 19.

GCF(28899,28918) = 19

We will now calculate the prime factors of 28899 and 28918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28899 and 28918.

How to find the GCF of 28899 and 28918?

We will first find the prime factorization of 28899 and 28918. After we will calculate the factors of 28899 and 28918 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 28918

Prime factors of 28918 are 2, 19, 761. Prime factorization of 28918 in exponential form is:

28918 = 2¹ × 19¹ × 761¹

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 28918

List of positive integer factors of 28918 that divides 28899 without a remainder.

1, 2, 19, 38, 761, 1522, 14459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28899 and 28918. The biggest common factor number is the GCF number.
So the greatest common factor 28899 and 28918 is 19.

Also check out the Least Common Multiple of 28899 and 28918