What is the Greatest Common Factor of 22538 and 22550?

Greatest common factor (GCF) of 22538 and 22550 is 2.

GCF(22538,22550) = 2

We will now calculate the prime factors of 22538 and 22550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22538 and 22550.

How to find the GCF of 22538 and 22550?

We will first find the prime factorization of 22538 and 22550. After we will calculate the factors of 22538 and 22550 and find the biggest common factor number .

Step-1: Prime Factorization of 22538

Prime factors of 22538 are 2, 59, 191. Prime factorization of 22538 in exponential form is:

22538 = 2¹ × 59¹ × 191¹

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 22538

List of positive integer factors of 22538 that divides 22538 without a remainder.

1, 2, 59, 118, 191, 382, 11269

Step-4: Factors of 22550

List of positive integer factors of 22550 that divides 22538 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 22538 and 22550. The biggest common factor number is the GCF number.
So the greatest common factor 22538 and 22550 is 2.

Also check out the Least Common Multiple of 22538 and 22550