What is the Greatest Common Factor of 36333 and 36342?

Greatest common factor (GCF) of 36333 and 36342 is 9.

GCF(36333,36342) = 9

We will now calculate the prime factors of 36333 and 36342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36333 and 36342.

How to find the GCF of 36333 and 36342?

We will first find the prime factorization of 36333 and 36342. After we will calculate the factors of 36333 and 36342 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36342

Prime factors of 36342 are 2, 3, 673. Prime factorization of 36342 in exponential form is:

36342 = 2¹ × 3³ × 673¹

Step-3: Factors of 36333

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

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

Step-4: Factors of 36342

List of positive integer factors of 36342 that divides 36333 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 673, 1346, 2019, 4038, 6057, 12114, 18171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36333 and 36342. The biggest common factor number is the GCF number.
So the greatest common factor 36333 and 36342 is 9.

Also check out the Least Common Multiple of 36333 and 36342