What is the Greatest Common Factor of 18338 and 18346?

Greatest common factor (GCF) of 18338 and 18346 is 2.

GCF(18338,18346) = 2

We will now calculate the prime factors of 18338 and 18346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18338 and 18346.

How to find the GCF of 18338 and 18346?

We will first find the prime factorization of 18338 and 18346. After we will calculate the factors of 18338 and 18346 and find the biggest common factor number .

Step-1: Prime Factorization of 18338

Prime factors of 18338 are 2, 53, 173. Prime factorization of 18338 in exponential form is:

18338 = 2¹ × 53¹ × 173¹

Step-2: Prime Factorization of 18346

Prime factors of 18346 are 2, 9173. Prime factorization of 18346 in exponential form is:

18346 = 2¹ × 9173¹

Step-3: Factors of 18338

List of positive integer factors of 18338 that divides 18338 without a remainder.

1, 2, 53, 106, 173, 346, 9169

Step-4: Factors of 18346

List of positive integer factors of 18346 that divides 18338 without a remainder.

1, 2, 9173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18338 and 18346. The biggest common factor number is the GCF number.
So the greatest common factor 18338 and 18346 is 2.

Also check out the Least Common Multiple of 18338 and 18346