What is the Greatest Common Factor of 22521 and 22539?

Greatest common factor (GCF) of 22521 and 22539 is 3.

GCF(22521,22539) = 3

We will now calculate the prime factors of 22521 and 22539, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22521 and 22539.

How to find the GCF of 22521 and 22539?

We will first find the prime factorization of 22521 and 22539. After we will calculate the factors of 22521 and 22539 and find the biggest common factor number .

Step-1: Prime Factorization of 22521

Prime factors of 22521 are 3, 7507. Prime factorization of 22521 in exponential form is:

22521 = 3¹ × 7507¹

Step-2: Prime Factorization of 22539

Prime factors of 22539 are 3, 11, 683. Prime factorization of 22539 in exponential form is:

22539 = 3¹ × 11¹ × 683¹

Step-3: Factors of 22521

List of positive integer factors of 22521 that divides 22521 without a remainder.

1, 3, 7507

Step-4: Factors of 22539

List of positive integer factors of 22539 that divides 22521 without a remainder.

1, 3, 11, 33, 683, 2049, 7513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22521 and 22539. The biggest common factor number is the GCF number.
So the greatest common factor 22521 and 22539 is 3.

Also check out the Least Common Multiple of 22521 and 22539