What is the Greatest Common Factor of 22525 and 22541?

Greatest common factor (GCF) of 22525 and 22541 is 1.

GCF(22525,22541) = 1

We will now calculate the prime factors of 22525 and 22541, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22525 and 22541.

How to find the GCF of 22525 and 22541?

We will first find the prime factorization of 22525 and 22541. After we will calculate the factors of 22525 and 22541 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 22541

Prime factors of 22541 are 22541. Prime factorization of 22541 in exponential form is:

22541 = 22541¹

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 22541

List of positive integer factors of 22541 that divides 22525 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22525 and 22541. The biggest common factor number is the GCF number.
So the greatest common factor 22525 and 22541 is 1.

Also check out the Least Common Multiple of 22525 and 22541