What is the Greatest Common Factor of 18308 and 18322?

Greatest common factor (GCF) of 18308 and 18322 is 2.

GCF(18308,18322) = 2

We will now calculate the prime factors of 18308 and 18322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18308 and 18322.

How to find the GCF of 18308 and 18322?

We will first find the prime factorization of 18308 and 18322. After we will calculate the factors of 18308 and 18322 and find the biggest common factor number .

Step-1: Prime Factorization of 18308

Prime factors of 18308 are 2, 23, 199. Prime factorization of 18308 in exponential form is:

18308 = 2² × 23¹ × 199¹

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 18308

List of positive integer factors of 18308 that divides 18308 without a remainder.

1, 2, 4, 23, 46, 92, 199, 398, 796, 4577, 9154

Step-4: Factors of 18322

List of positive integer factors of 18322 that divides 18308 without a remainder.

1, 2, 9161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18308 and 18322. The biggest common factor number is the GCF number.
So the greatest common factor 18308 and 18322 is 2.

Also check out the Least Common Multiple of 18308 and 18322