What is the Greatest Common Factor of 22878 and 22887?

Greatest common factor (GCF) of 22878 and 22887 is 9.

GCF(22878,22887) = 9

We will now calculate the prime factors of 22878 and 22887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22878 and 22887.

How to find the GCF of 22878 and 22887?

We will first find the prime factorization of 22878 and 22887. After we will calculate the factors of 22878 and 22887 and find the biggest common factor number .

Step-1: Prime Factorization of 22878

Prime factors of 22878 are 2, 3, 31, 41. Prime factorization of 22878 in exponential form is:

22878 = 2¹ × 3² × 31¹ × 41¹

Step-2: Prime Factorization of 22887

Prime factors of 22887 are 3, 2543. Prime factorization of 22887 in exponential form is:

22887 = 3² × 2543¹

Step-3: Factors of 22878

List of positive integer factors of 22878 that divides 22878 without a remainder.

1, 2, 3, 6, 9, 18, 31, 41, 62, 82, 93, 123, 186, 246, 279, 369, 558, 738, 1271, 2542, 3813, 7626, 11439

Step-4: Factors of 22887

List of positive integer factors of 22887 that divides 22878 without a remainder.

1, 3, 9, 2543, 7629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22878 and 22887. The biggest common factor number is the GCF number.
So the greatest common factor 22878 and 22887 is 9.

Also check out the Least Common Multiple of 22878 and 22887