What is the Greatest Common Factor of 11304 and 11322?

Greatest common factor (GCF) of 11304 and 11322 is 18.

GCF(11304,11322) = 18

We will now calculate the prime factors of 11304 and 11322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11304 and 11322.

How to find the GCF of 11304 and 11322?

We will first find the prime factorization of 11304 and 11322. After we will calculate the factors of 11304 and 11322 and find the biggest common factor number .

Step-1: Prime Factorization of 11304

Prime factors of 11304 are 2, 3, 157. Prime factorization of 11304 in exponential form is:

11304 = 2³ × 3² × 157¹

Step-2: Prime Factorization of 11322

Prime factors of 11322 are 2, 3, 17, 37. Prime factorization of 11322 in exponential form is:

11322 = 2¹ × 3² × 17¹ × 37¹

Step-3: Factors of 11304

List of positive integer factors of 11304 that divides 11304 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 157, 314, 471, 628, 942, 1256, 1413, 1884, 2826, 3768, 5652

Step-4: Factors of 11322

List of positive integer factors of 11322 that divides 11304 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 37, 51, 74, 102, 111, 153, 222, 306, 333, 629, 666, 1258, 1887, 3774, 5661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11304 and 11322. The biggest common factor number is the GCF number.
So the greatest common factor 11304 and 11322 is 18.

Also check out the Least Common Multiple of 11304 and 11322