What is the Greatest Common Factor of 22269 and 22275?

Greatest common factor (GCF) of 22269 and 22275 is 3.

GCF(22269,22275) = 3

We will now calculate the prime factors of 22269 and 22275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22269 and 22275.

How to find the GCF of 22269 and 22275?

We will first find the prime factorization of 22269 and 22275. After we will calculate the factors of 22269 and 22275 and find the biggest common factor number .

Step-1: Prime Factorization of 22269

Prime factors of 22269 are 3, 13, 571. Prime factorization of 22269 in exponential form is:

22269 = 3¹ × 13¹ × 571¹

Step-2: 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-3: Factors of 22269

List of positive integer factors of 22269 that divides 22269 without a remainder.

1, 3, 13, 39, 571, 1713, 7423

Step-4: Factors of 22275

List of positive integer factors of 22275 that divides 22269 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22269 and 22275. The biggest common factor number is the GCF number.
So the greatest common factor 22269 and 22275 is 3.

Also check out the Least Common Multiple of 22269 and 22275