What is the Greatest Common Factor of 22529 and 22542?

Greatest common factor (GCF) of 22529 and 22542 is 13.

GCF(22529,22542) = 13

We will now calculate the prime factors of 22529 and 22542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22529 and 22542.

How to find the GCF of 22529 and 22542?

We will first find the prime factorization of 22529 and 22542. After we will calculate the factors of 22529 and 22542 and find the biggest common factor number .

Step-1: Prime Factorization of 22529

Prime factors of 22529 are 13, 1733. Prime factorization of 22529 in exponential form is:

22529 = 13¹ × 1733¹

Step-2: 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-3: Factors of 22529

List of positive integer factors of 22529 that divides 22529 without a remainder.

1, 13, 1733

Step-4: Factors of 22542

List of positive integer factors of 22542 that divides 22529 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22529 and 22542. The biggest common factor number is the GCF number.
So the greatest common factor 22529 and 22542 is 13.

Also check out the Least Common Multiple of 22529 and 22542