What is the Greatest Common Factor of 36387 and 36399?

Greatest common factor (GCF) of 36387 and 36399 is 3.

GCF(36387,36399) = 3

We will now calculate the prime factors of 36387 and 36399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36387 and 36399.

How to find the GCF of 36387 and 36399?

We will first find the prime factorization of 36387 and 36399. After we will calculate the factors of 36387 and 36399 and find the biggest common factor number .

Step-1: Prime Factorization of 36387

Prime factors of 36387 are 3, 13, 311. Prime factorization of 36387 in exponential form is:

36387 = 3² × 13¹ × 311¹

Step-2: Prime Factorization of 36399

Prime factors of 36399 are 3, 11, 1103. Prime factorization of 36399 in exponential form is:

36399 = 3¹ × 11¹ × 1103¹

Step-3: Factors of 36387

List of positive integer factors of 36387 that divides 36387 without a remainder.

1, 3, 9, 13, 39, 117, 311, 933, 2799, 4043, 12129

Step-4: Factors of 36399

List of positive integer factors of 36399 that divides 36387 without a remainder.

1, 3, 11, 33, 1103, 3309, 12133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36387 and 36399. The biggest common factor number is the GCF number.
So the greatest common factor 36387 and 36399 is 3.

Also check out the Least Common Multiple of 36387 and 36399