What is the Greatest Common Factor of 22475 and 22487?

Greatest common factor (GCF) of 22475 and 22487 is 1.

GCF(22475,22487) = 1

We will now calculate the prime factors of 22475 and 22487, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22475 and 22487.

How to find the GCF of 22475 and 22487?

We will first find the prime factorization of 22475 and 22487. After we will calculate the factors of 22475 and 22487 and find the biggest common factor number .

Step-1: Prime Factorization of 22475

Prime factors of 22475 are 5, 29, 31. Prime factorization of 22475 in exponential form is:

22475 = 5² × 29¹ × 31¹

Step-2: Prime Factorization of 22487

Prime factors of 22487 are 113, 199. Prime factorization of 22487 in exponential form is:

22487 = 113¹ × 199¹

Step-3: Factors of 22475

List of positive integer factors of 22475 that divides 22475 without a remainder.

1, 5, 25, 29, 31, 145, 155, 725, 775, 899, 4495

Step-4: Factors of 22487

List of positive integer factors of 22487 that divides 22475 without a remainder.

1, 113, 199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22475 and 22487. The biggest common factor number is the GCF number.
So the greatest common factor 22475 and 22487 is 1.

Also check out the Least Common Multiple of 22475 and 22487