What is the Greatest Common Factor of 22581 and 22594?

Greatest common factor (GCF) of 22581 and 22594 is 13.

GCF(22581,22594) = 13

We will now calculate the prime factors of 22581 and 22594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22581 and 22594.

How to find the GCF of 22581 and 22594?

We will first find the prime factorization of 22581 and 22594. After we will calculate the factors of 22581 and 22594 and find the biggest common factor number .

Step-1: Prime Factorization of 22581

Prime factors of 22581 are 3, 13, 193. Prime factorization of 22581 in exponential form is:

22581 = 3² × 13¹ × 193¹

Step-2: Prime Factorization of 22594

Prime factors of 22594 are 2, 11, 13, 79. Prime factorization of 22594 in exponential form is:

22594 = 2¹ × 11¹ × 13¹ × 79¹

Step-3: Factors of 22581

List of positive integer factors of 22581 that divides 22581 without a remainder.

1, 3, 9, 13, 39, 117, 193, 579, 1737, 2509, 7527

Step-4: Factors of 22594

List of positive integer factors of 22594 that divides 22581 without a remainder.

1, 2, 11, 13, 22, 26, 79, 143, 158, 286, 869, 1027, 1738, 2054, 11297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22581 and 22594. The biggest common factor number is the GCF number.
So the greatest common factor 22581 and 22594 is 13.

Also check out the Least Common Multiple of 22581 and 22594