What is the Greatest Common Factor of 18322 and 18342?

Greatest common factor (GCF) of 18322 and 18342 is 2.

GCF(18322,18342) = 2

We will now calculate the prime factors of 18322 and 18342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18322 and 18342.

How to find the GCF of 18322 and 18342?

We will first find the prime factorization of 18322 and 18342. After we will calculate the factors of 18322 and 18342 and find the biggest common factor number .

Step-1: Prime Factorization of 18322

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

18322 = 2¹ × 9161¹

Step-2: Prime Factorization of 18342

Prime factors of 18342 are 2, 3, 1019. Prime factorization of 18342 in exponential form is:

18342 = 2¹ × 3² × 1019¹

Step-3: Factors of 18322

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

1, 2, 9161

Step-4: Factors of 18342

List of positive integer factors of 18342 that divides 18322 without a remainder.

1, 2, 3, 6, 9, 18, 1019, 2038, 3057, 6114, 9171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18322 and 18342. The biggest common factor number is the GCF number.
So the greatest common factor 18322 and 18342 is 2.

Also check out the Least Common Multiple of 18322 and 18342