What is the Greatest Common Factor of 22542 and 22559?

Greatest common factor (GCF) of 22542 and 22559 is 17.

GCF(22542,22559) = 17

We will now calculate the prime factors of 22542 and 22559, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22542 and 22559.

How to find the GCF of 22542 and 22559?

We will first find the prime factorization of 22542 and 22559. After we will calculate the factors of 22542 and 22559 and find the biggest common factor number .

Step-1: Prime Factorization of 22542

Prime factors of 22542 are 2, 3, 13, 17. Prime factorization of 22542 in exponential form is:

22542 = 2¹ × 3¹ × 13¹ × 17²

Step-2: Prime Factorization of 22559

Prime factors of 22559 are 17, 1327. Prime factorization of 22559 in exponential form is:

22559 = 17¹ × 1327¹

Step-3: Factors of 22542

List of positive integer factors of 22542 that divides 22542 without a remainder.

1, 2, 3, 6, 13, 17, 26, 34, 39, 51, 78, 102, 221, 289, 442, 578, 663, 867, 1326, 1734, 3757, 7514, 11271

Step-4: Factors of 22559

List of positive integer factors of 22559 that divides 22542 without a remainder.

1, 17, 1327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22542 and 22559. The biggest common factor number is the GCF number.
So the greatest common factor 22542 and 22559 is 17.

Also check out the Least Common Multiple of 22542 and 22559