What is the Greatest Common Factor of 22509 and 22525?

Greatest common factor (GCF) of 22509 and 22525 is 1.

GCF(22509,22525) = 1

We will now calculate the prime factors of 22509 and 22525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22509 and 22525.

How to find the GCF of 22509 and 22525?

We will first find the prime factorization of 22509 and 22525. After we will calculate the factors of 22509 and 22525 and find the biggest common factor number .

Step-1: Prime Factorization of 22509

Prime factors of 22509 are 3, 41, 61. Prime factorization of 22509 in exponential form is:

22509 = 3² × 41¹ × 61¹

Step-2: Prime Factorization of 22525

Prime factors of 22525 are 5, 17, 53. Prime factorization of 22525 in exponential form is:

22525 = 5² × 17¹ × 53¹

Step-3: Factors of 22509

List of positive integer factors of 22509 that divides 22509 without a remainder.

1, 3, 9, 41, 61, 123, 183, 369, 549, 2501, 7503

Step-4: Factors of 22525

List of positive integer factors of 22525 that divides 22509 without a remainder.

1, 5, 17, 25, 53, 85, 265, 425, 901, 1325, 4505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22509 and 22525. The biggest common factor number is the GCF number.
So the greatest common factor 22509 and 22525 is 1.

Also check out the Least Common Multiple of 22509 and 22525