What is the Greatest Common Factor of 22740 and 22755?

Greatest common factor (GCF) of 22740 and 22755 is 15.

GCF(22740,22755) = 15

We will now calculate the prime factors of 22740 and 22755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22740 and 22755.

How to find the GCF of 22740 and 22755?

We will first find the prime factorization of 22740 and 22755. After we will calculate the factors of 22740 and 22755 and find the biggest common factor number .

Step-1: Prime Factorization of 22740

Prime factors of 22740 are 2, 3, 5, 379. Prime factorization of 22740 in exponential form is:

22740 = 2² × 3¹ × 5¹ × 379¹

Step-2: Prime Factorization of 22755

Prime factors of 22755 are 3, 5, 37, 41. Prime factorization of 22755 in exponential form is:

22755 = 3¹ × 5¹ × 37¹ × 41¹

Step-3: Factors of 22740

List of positive integer factors of 22740 that divides 22740 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 379, 758, 1137, 1516, 1895, 2274, 3790, 4548, 5685, 7580, 11370

Step-4: Factors of 22755

List of positive integer factors of 22755 that divides 22740 without a remainder.

1, 3, 5, 15, 37, 41, 111, 123, 185, 205, 555, 615, 1517, 4551, 7585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22740 and 22755. The biggest common factor number is the GCF number.
So the greatest common factor 22740 and 22755 is 15.

Also check out the Least Common Multiple of 22740 and 22755