What is the Greatest Common Factor of 36291 and 36306?

Greatest common factor (GCF) of 36291 and 36306 is 3.

GCF(36291,36306) = 3

We will now calculate the prime factors of 36291 and 36306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36291 and 36306.

How to find the GCF of 36291 and 36306?

We will first find the prime factorization of 36291 and 36306. After we will calculate the factors of 36291 and 36306 and find the biggest common factor number .

Step-1: Prime Factorization of 36291

Prime factors of 36291 are 3, 12097. Prime factorization of 36291 in exponential form is:

36291 = 3¹ × 12097¹

Step-2: Prime Factorization of 36306

Prime factors of 36306 are 2, 3, 2017. Prime factorization of 36306 in exponential form is:

36306 = 2¹ × 3² × 2017¹

Step-3: Factors of 36291

List of positive integer factors of 36291 that divides 36291 without a remainder.

1, 3, 12097

Step-4: Factors of 36306

List of positive integer factors of 36306 that divides 36291 without a remainder.

1, 2, 3, 6, 9, 18, 2017, 4034, 6051, 12102, 18153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36291 and 36306. The biggest common factor number is the GCF number.
So the greatest common factor 36291 and 36306 is 3.

Also check out the Least Common Multiple of 36291 and 36306