What is the Greatest Common Factor of 18304 and 18322?

Greatest common factor (GCF) of 18304 and 18322 is 2.

GCF(18304,18322) = 2

We will now calculate the prime factors of 18304 and 18322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18304 and 18322.

How to find the GCF of 18304 and 18322?

We will first find the prime factorization of 18304 and 18322. After we will calculate the factors of 18304 and 18322 and find the biggest common factor number .

Step-1: Prime Factorization of 18304

Prime factors of 18304 are 2, 11, 13. Prime factorization of 18304 in exponential form is:

18304 = 2⁷ × 11¹ × 13¹

Step-2: Prime Factorization of 18322

Prime factors of 18322 are 2, 9161. Prime factorization of 18322 in exponential form is:

18322 = 2¹ × 9161¹

Step-3: Factors of 18304

List of positive integer factors of 18304 that divides 18304 without a remainder.

1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 64, 88, 104, 128, 143, 176, 208, 286, 352, 416, 572, 704, 832, 1144, 1408, 1664, 2288, 4576, 9152

Step-4: Factors of 18322

List of positive integer factors of 18322 that divides 18304 without a remainder.

1, 2, 9161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18304 and 18322. The biggest common factor number is the GCF number.
So the greatest common factor 18304 and 18322 is 2.

Also check out the Least Common Multiple of 18304 and 18322