What is the Greatest Common Factor of 18324 and 18338?

Greatest common factor (GCF) of 18324 and 18338 is 2.

GCF(18324,18338) = 2

We will now calculate the prime factors of 18324 and 18338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18324 and 18338.

How to find the GCF of 18324 and 18338?

We will first find the prime factorization of 18324 and 18338. After we will calculate the factors of 18324 and 18338 and find the biggest common factor number .

Step-1: Prime Factorization of 18324

Prime factors of 18324 are 2, 3, 509. Prime factorization of 18324 in exponential form is:

18324 = 2² × 3² × 509¹

Step-2: 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-3: Factors of 18324

List of positive integer factors of 18324 that divides 18324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 509, 1018, 1527, 2036, 3054, 4581, 6108, 9162

Step-4: Factors of 18338

List of positive integer factors of 18338 that divides 18324 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18324 and 18338. The biggest common factor number is the GCF number.
So the greatest common factor 18324 and 18338 is 2.

Also check out the Least Common Multiple of 18324 and 18338