What is the Greatest Common Factor of 22330 and 22341?

Greatest common factor (GCF) of 22330 and 22341 is 11.

GCF(22330,22341) = 11

We will now calculate the prime factors of 22330 and 22341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22330 and 22341.

How to find the GCF of 22330 and 22341?

We will first find the prime factorization of 22330 and 22341. After we will calculate the factors of 22330 and 22341 and find the biggest common factor number .

Step-1: Prime Factorization of 22330

Prime factors of 22330 are 2, 5, 7, 11, 29. Prime factorization of 22330 in exponential form is:

22330 = 2¹ × 5¹ × 7¹ × 11¹ × 29¹

Step-2: Prime Factorization of 22341

Prime factors of 22341 are 3, 11, 677. Prime factorization of 22341 in exponential form is:

22341 = 3¹ × 11¹ × 677¹

Step-3: Factors of 22330

List of positive integer factors of 22330 that divides 22330 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 29, 35, 55, 58, 70, 77, 110, 145, 154, 203, 290, 319, 385, 406, 638, 770, 1015, 1595, 2030, 2233, 3190, 4466, 11165

Step-4: Factors of 22341

List of positive integer factors of 22341 that divides 22330 without a remainder.

1, 3, 11, 33, 677, 2031, 7447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22330 and 22341. The biggest common factor number is the GCF number.
So the greatest common factor 22330 and 22341 is 11.

Also check out the Least Common Multiple of 22330 and 22341