What is the Greatest Common Factor of 22525 and 22533?

Greatest common factor (GCF) of 22525 and 22533 is 1.

GCF(22525,22533) = 1

We will now calculate the prime factors of 22525 and 22533, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22525 and 22533.

How to find the GCF of 22525 and 22533?

We will first find the prime factorization of 22525 and 22533. After we will calculate the factors of 22525 and 22533 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22533

Prime factors of 22533 are 3, 7, 29, 37. Prime factorization of 22533 in exponential form is:

22533 = 3¹ × 7¹ × 29¹ × 37¹

Step-3: Factors of 22525

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

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

Step-4: Factors of 22533

List of positive integer factors of 22533 that divides 22525 without a remainder.

1, 3, 7, 21, 29, 37, 87, 111, 203, 259, 609, 777, 1073, 3219, 7511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22525 and 22533. The biggest common factor number is the GCF number.
So the greatest common factor 22525 and 22533 is 1.

Also check out the Least Common Multiple of 22525 and 22533