What is the Greatest Common Factor of 22866 and 22878?

Greatest common factor (GCF) of 22866 and 22878 is 6.

GCF(22866,22878) = 6

We will now calculate the prime factors of 22866 and 22878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22866 and 22878.

How to find the GCF of 22866 and 22878?

We will first find the prime factorization of 22866 and 22878. After we will calculate the factors of 22866 and 22878 and find the biggest common factor number .

Step-1: Prime Factorization of 22866

Prime factors of 22866 are 2, 3, 37, 103. Prime factorization of 22866 in exponential form is:

22866 = 2¹ × 3¹ × 37¹ × 103¹

Step-2: 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-3: Factors of 22866

List of positive integer factors of 22866 that divides 22866 without a remainder.

1, 2, 3, 6, 37, 74, 103, 111, 206, 222, 309, 618, 3811, 7622, 11433

Step-4: Factors of 22878

List of positive integer factors of 22878 that divides 22866 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22866 and 22878. The biggest common factor number is the GCF number.
So the greatest common factor 22866 and 22878 is 6.

Also check out the Least Common Multiple of 22866 and 22878