What is the Greatest Common Factor of 22275 and 22279?

Greatest common factor (GCF) of 22275 and 22279 is 1.

GCF(22275,22279) = 1

We will now calculate the prime factors of 22275 and 22279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22275 and 22279.

How to find the GCF of 22275 and 22279?

We will first find the prime factorization of 22275 and 22279. After we will calculate the factors of 22275 and 22279 and find the biggest common factor number .

Step-1: Prime Factorization of 22275

Prime factors of 22275 are 3, 5, 11. Prime factorization of 22275 in exponential form is:

22275 = 3⁴ × 5² × 11¹

Step-2: Prime Factorization of 22279

Prime factors of 22279 are 22279. Prime factorization of 22279 in exponential form is:

22279 = 22279¹

Step-3: Factors of 22275

List of positive integer factors of 22275 that divides 22275 without a remainder.

1, 3, 5, 9, 11, 15, 25, 27, 33, 45, 55, 75, 81, 99, 135, 165, 225, 275, 297, 405, 495, 675, 825, 891, 1485, 2025, 2475, 4455, 7425

Step-4: Factors of 22279

List of positive integer factors of 22279 that divides 22275 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22275 and 22279. The biggest common factor number is the GCF number.
So the greatest common factor 22275 and 22279 is 1.

Also check out the Least Common Multiple of 22275 and 22279