What is the Greatest Common Factor of 36327 and 36333?

Greatest common factor (GCF) of 36327 and 36333 is 3.

GCF(36327,36333) = 3

We will now calculate the prime factors of 36327 and 36333, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36327 and 36333.

How to find the GCF of 36327 and 36333?

We will first find the prime factorization of 36327 and 36333. After we will calculate the factors of 36327 and 36333 and find the biggest common factor number .

Step-1: Prime Factorization of 36327

Prime factors of 36327 are 3, 12109. Prime factorization of 36327 in exponential form is:

36327 = 3¹ × 12109¹

Step-2: Prime Factorization of 36333

Prime factors of 36333 are 3, 11, 367. Prime factorization of 36333 in exponential form is:

36333 = 3² × 11¹ × 367¹

Step-3: Factors of 36327

List of positive integer factors of 36327 that divides 36327 without a remainder.

1, 3, 12109

Step-4: Factors of 36333

List of positive integer factors of 36333 that divides 36327 without a remainder.

1, 3, 9, 11, 33, 99, 367, 1101, 3303, 4037, 12111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36327 and 36333. The biggest common factor number is the GCF number.
So the greatest common factor 36327 and 36333 is 3.

Also check out the Least Common Multiple of 36327 and 36333