What is the Greatest Common Factor of 22310 and 22330?

Greatest common factor (GCF) of 22310 and 22330 is 10.

GCF(22310,22330) = 10

We will now calculate the prime factors of 22310 and 22330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22310 and 22330.

How to find the GCF of 22310 and 22330?

We will first find the prime factorization of 22310 and 22330. After we will calculate the factors of 22310 and 22330 and find the biggest common factor number .

Step-1: Prime Factorization of 22310

Prime factors of 22310 are 2, 5, 23, 97. Prime factorization of 22310 in exponential form is:

22310 = 2¹ × 5¹ × 23¹ × 97¹

Step-2: 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-3: Factors of 22310

List of positive integer factors of 22310 that divides 22310 without a remainder.

1, 2, 5, 10, 23, 46, 97, 115, 194, 230, 485, 970, 2231, 4462, 11155

Step-4: Factors of 22330

List of positive integer factors of 22330 that divides 22310 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22310 and 22330. The biggest common factor number is the GCF number.
So the greatest common factor 22310 and 22330 is 10.

Also check out the Least Common Multiple of 22310 and 22330