What is the Greatest Common Factor of 18338 and 18356?

Greatest common factor (GCF) of 18338 and 18356 is 2.

GCF(18338,18356) = 2

We will now calculate the prime factors of 18338 and 18356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18338 and 18356.

How to find the GCF of 18338 and 18356?

We will first find the prime factorization of 18338 and 18356. After we will calculate the factors of 18338 and 18356 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 18356

Prime factors of 18356 are 2, 13, 353. Prime factorization of 18356 in exponential form is:

18356 = 2² × 13¹ × 353¹

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 18356

List of positive integer factors of 18356 that divides 18338 without a remainder.

1, 2, 4, 13, 26, 52, 353, 706, 1412, 4589, 9178

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18338 and 18356. The biggest common factor number is the GCF number.
So the greatest common factor 18338 and 18356 is 2.

Also check out the Least Common Multiple of 18338 and 18356