What is the Greatest Common Factor of 36327 and 36345?

Greatest common factor (GCF) of 36327 and 36345 is 3.

GCF(36327,36345) = 3

We will now calculate the prime factors of 36327 and 36345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36327 and 36345.

How to find the GCF of 36327 and 36345?

We will first find the prime factorization of 36327 and 36345. After we will calculate the factors of 36327 and 36345 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 36345

Prime factors of 36345 are 3, 5, 2423. Prime factorization of 36345 in exponential form is:

36345 = 3¹ × 5¹ × 2423¹

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 36345

List of positive integer factors of 36345 that divides 36327 without a remainder.

1, 3, 5, 15, 2423, 7269, 12115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36327 and 36345. The biggest common factor number is the GCF number.
So the greatest common factor 36327 and 36345 is 3.

Also check out the Least Common Multiple of 36327 and 36345