What is the Greatest Common Factor of 22854 and 22872?

Greatest common factor (GCF) of 22854 and 22872 is 6.

GCF(22854,22872) = 6

We will now calculate the prime factors of 22854 and 22872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22854 and 22872.

How to find the GCF of 22854 and 22872?

We will first find the prime factorization of 22854 and 22872. After we will calculate the factors of 22854 and 22872 and find the biggest common factor number .

Step-1: Prime Factorization of 22854

Prime factors of 22854 are 2, 3, 13, 293. Prime factorization of 22854 in exponential form is:

22854 = 2¹ × 3¹ × 13¹ × 293¹

Step-2: Prime Factorization of 22872

Prime factors of 22872 are 2, 3, 953. Prime factorization of 22872 in exponential form is:

22872 = 2³ × 3¹ × 953¹

Step-3: Factors of 22854

List of positive integer factors of 22854 that divides 22854 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 293, 586, 879, 1758, 3809, 7618, 11427

Step-4: Factors of 22872

List of positive integer factors of 22872 that divides 22854 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 953, 1906, 2859, 3812, 5718, 7624, 11436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22854 and 22872. The biggest common factor number is the GCF number.
So the greatest common factor 22854 and 22872 is 6.

Also check out the Least Common Multiple of 22854 and 22872