What is the Greatest Common Factor of 22625 and 22643?

Greatest common factor (GCF) of 22625 and 22643 is 1.

GCF(22625,22643) = 1

We will now calculate the prime factors of 22625 and 22643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22625 and 22643.

How to find the GCF of 22625 and 22643?

We will first find the prime factorization of 22625 and 22643. After we will calculate the factors of 22625 and 22643 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 22643

Prime factors of 22643 are 22643. Prime factorization of 22643 in exponential form is:

22643 = 22643¹

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 22643

List of positive integer factors of 22643 that divides 22625 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22625 and 22643. The biggest common factor number is the GCF number.
So the greatest common factor 22625 and 22643 is 1.

Also check out the Least Common Multiple of 22625 and 22643