What is the Greatest Common Factor of 13110 and 13122?

Greatest common factor (GCF) of 13110 and 13122 is 6.

GCF(13110,13122) = 6

We will now calculate the prime factors of 13110 and 13122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13110 and 13122.

How to find the GCF of 13110 and 13122?

We will first find the prime factorization of 13110 and 13122. After we will calculate the factors of 13110 and 13122 and find the biggest common factor number .

Step-1: Prime Factorization of 13110

Prime factors of 13110 are 2, 3, 5, 19, 23. Prime factorization of 13110 in exponential form is:

13110 = 2¹ × 3¹ × 5¹ × 19¹ × 23¹

Step-2: Prime Factorization of 13122

Prime factors of 13122 are 2, 3. Prime factorization of 13122 in exponential form is:

13122 = 2¹ × 3⁸

Step-3: Factors of 13110

List of positive integer factors of 13110 that divides 13110 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 23, 30, 38, 46, 57, 69, 95, 114, 115, 138, 190, 230, 285, 345, 437, 570, 690, 874, 1311, 2185, 2622, 4370, 6555

Step-4: Factors of 13122

List of positive integer factors of 13122 that divides 13110 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458, 2187, 4374, 6561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13110 and 13122. The biggest common factor number is the GCF number.
So the greatest common factor 13110 and 13122 is 6.

Also check out the Least Common Multiple of 13110 and 13122