What is the Greatest Common Factor of 22275 and 22290?

Greatest common factor (GCF) of 22275 and 22290 is 15.

GCF(22275,22290) = 15

We will now calculate the prime factors of 22275 and 22290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22275 and 22290.

How to find the GCF of 22275 and 22290?

We will first find the prime factorization of 22275 and 22290. After we will calculate the factors of 22275 and 22290 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 22290

Prime factors of 22290 are 2, 3, 5, 743. Prime factorization of 22290 in exponential form is:

22290 = 2¹ × 3¹ × 5¹ × 743¹

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 22290

List of positive integer factors of 22290 that divides 22275 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 743, 1486, 2229, 3715, 4458, 7430, 11145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22275 and 22290. The biggest common factor number is the GCF number.
So the greatest common factor 22275 and 22290 is 15.

Also check out the Least Common Multiple of 22275 and 22290