What is the Greatest Common Factor of 18338 and 18358?

Greatest common factor (GCF) of 18338 and 18358 is 2.

GCF(18338,18358) = 2

We will now calculate the prime factors of 18338 and 18358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18338 and 18358.

How to find the GCF of 18338 and 18358?

We will first find the prime factorization of 18338 and 18358. After we will calculate the factors of 18338 and 18358 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 18358

Prime factors of 18358 are 2, 67, 137. Prime factorization of 18358 in exponential form is:

18358 = 2¹ × 67¹ × 137¹

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 18358

List of positive integer factors of 18358 that divides 18338 without a remainder.

1, 2, 67, 134, 137, 274, 9179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18338 and 18358. The biggest common factor number is the GCF number.
So the greatest common factor 18338 and 18358 is 2.

Also check out the Least Common Multiple of 18338 and 18358