What is the Greatest Common Factor of 36324 and 36338?

Greatest common factor (GCF) of 36324 and 36338 is 2.

GCF(36324,36338) = 2

We will now calculate the prime factors of 36324 and 36338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36324 and 36338.

How to find the GCF of 36324 and 36338?

We will first find the prime factorization of 36324 and 36338. After we will calculate the factors of 36324 and 36338 and find the biggest common factor number .

Step-1: Prime Factorization of 36324

Prime factors of 36324 are 2, 3, 1009. Prime factorization of 36324 in exponential form is:

36324 = 2² × 3² × 1009¹

Step-2: Prime Factorization of 36338

Prime factors of 36338 are 2, 18169. Prime factorization of 36338 in exponential form is:

36338 = 2¹ × 18169¹

Step-3: Factors of 36324

List of positive integer factors of 36324 that divides 36324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1009, 2018, 3027, 4036, 6054, 9081, 12108, 18162

Step-4: Factors of 36338

List of positive integer factors of 36338 that divides 36324 without a remainder.

1, 2, 18169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36324 and 36338. The biggest common factor number is the GCF number.
So the greatest common factor 36324 and 36338 is 2.

Also check out the Least Common Multiple of 36324 and 36338