What is the Greatest Common Factor of 11310 and 11323?

Greatest common factor (GCF) of 11310 and 11323 is 13.

GCF(11310,11323) = 13

We will now calculate the prime factors of 11310 and 11323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11310 and 11323.

How to find the GCF of 11310 and 11323?

We will first find the prime factorization of 11310 and 11323. After we will calculate the factors of 11310 and 11323 and find the biggest common factor number .

Step-1: Prime Factorization of 11310

Prime factors of 11310 are 2, 3, 5, 13, 29. Prime factorization of 11310 in exponential form is:

11310 = 2¹ × 3¹ × 5¹ × 13¹ × 29¹

Step-2: Prime Factorization of 11323

Prime factors of 11323 are 13, 67. Prime factorization of 11323 in exponential form is:

11323 = 13² × 67¹

Step-3: Factors of 11310

List of positive integer factors of 11310 that divides 11310 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 29, 30, 39, 58, 65, 78, 87, 130, 145, 174, 195, 290, 377, 390, 435, 754, 870, 1131, 1885, 2262, 3770, 5655

Step-4: Factors of 11323

List of positive integer factors of 11323 that divides 11310 without a remainder.

1, 13, 67, 169, 871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11310 and 11323. The biggest common factor number is the GCF number.
So the greatest common factor 11310 and 11323 is 13.

Also check out the Least Common Multiple of 11310 and 11323