What is the Greatest Common Factor of 22539 and 22550?

Greatest common factor (GCF) of 22539 and 22550 is 11.

GCF(22539,22550) = 11

We will now calculate the prime factors of 22539 and 22550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22539 and 22550.

How to find the GCF of 22539 and 22550?

We will first find the prime factorization of 22539 and 22550. After we will calculate the factors of 22539 and 22550 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22550

Prime factors of 22550 are 2, 5, 11, 41. Prime factorization of 22550 in exponential form is:

22550 = 2¹ × 5² × 11¹ × 41¹

Step-3: Factors of 22539

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

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

Step-4: Factors of 22550

List of positive integer factors of 22550 that divides 22539 without a remainder.

1, 2, 5, 10, 11, 22, 25, 41, 50, 55, 82, 110, 205, 275, 410, 451, 550, 902, 1025, 2050, 2255, 4510, 11275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22539 and 22550. The biggest common factor number is the GCF number.
So the greatest common factor 22539 and 22550 is 11.

Also check out the Least Common Multiple of 22539 and 22550