What is the Greatest Common Factor of 22854 and 22867?

Greatest common factor (GCF) of 22854 and 22867 is 13.

GCF(22854,22867) = 13

We will now calculate the prime factors of 22854 and 22867, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22854 and 22867.

How to find the GCF of 22854 and 22867?

We will first find the prime factorization of 22854 and 22867. After we will calculate the factors of 22854 and 22867 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 22867

Prime factors of 22867 are 13, 1759. Prime factorization of 22867 in exponential form is:

22867 = 13¹ × 1759¹

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 22867

List of positive integer factors of 22867 that divides 22854 without a remainder.

1, 13, 1759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22854 and 22867. The biggest common factor number is the GCF number.
So the greatest common factor 22854 and 22867 is 13.

Also check out the Least Common Multiple of 22854 and 22867