What is the Greatest Common Factor of 22625 and 22637?

Greatest common factor (GCF) of 22625 and 22637 is 1.

GCF(22625,22637) = 1

We will now calculate the prime factors of 22625 and 22637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22625 and 22637.

How to find the GCF of 22625 and 22637?

We will first find the prime factorization of 22625 and 22637. After we will calculate the factors of 22625 and 22637 and find the biggest common factor number .

Step-1: Prime Factorization of 22625

Prime factors of 22625 are 5, 181. Prime factorization of 22625 in exponential form is:

22625 = 5³ × 181¹

Step-2: Prime Factorization of 22637

Prime factors of 22637 are 22637. Prime factorization of 22637 in exponential form is:

22637 = 22637¹

Step-3: Factors of 22625

List of positive integer factors of 22625 that divides 22625 without a remainder.

1, 5, 25, 125, 181, 905, 4525

Step-4: Factors of 22637

List of positive integer factors of 22637 that divides 22625 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22625 and 22637. The biggest common factor number is the GCF number.
So the greatest common factor 22625 and 22637 is 1.

Also check out the Least Common Multiple of 22625 and 22637