What is the Greatest Common Factor of 22525 and 22543?

Greatest common factor (GCF) of 22525 and 22543 is 1.

GCF(22525,22543) = 1

We will now calculate the prime factors of 22525 and 22543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22525 and 22543.

How to find the GCF of 22525 and 22543?

We will first find the prime factorization of 22525 and 22543. After we will calculate the factors of 22525 and 22543 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 22543

Prime factors of 22543 are 22543. Prime factorization of 22543 in exponential form is:

22543 = 22543¹

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 22543

List of positive integer factors of 22543 that divides 22525 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22525 and 22543. The biggest common factor number is the GCF number.
So the greatest common factor 22525 and 22543 is 1.

Also check out the Least Common Multiple of 22525 and 22543