What is the Greatest Common Factor of 58311 and 58329?

Greatest common factor (GCF) of 58311 and 58329 is 9.

GCF(58311,58329) = 9

We will now calculate the prime factors of 58311 and 58329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58311 and 58329.

How to find the GCF of 58311 and 58329?

We will first find the prime factorization of 58311 and 58329. After we will calculate the factors of 58311 and 58329 and find the biggest common factor number .

Step-1: Prime Factorization of 58311

Prime factors of 58311 are 3, 11, 19, 31. Prime factorization of 58311 in exponential form is:

58311 = 3² × 11¹ × 19¹ × 31¹

Step-2: Prime Factorization of 58329

Prime factors of 58329 are 3, 6481. Prime factorization of 58329 in exponential form is:

58329 = 3² × 6481¹

Step-3: Factors of 58311

List of positive integer factors of 58311 that divides 58311 without a remainder.

1, 3, 9, 11, 19, 31, 33, 57, 93, 99, 171, 209, 279, 341, 589, 627, 1023, 1767, 1881, 3069, 5301, 6479, 19437

Step-4: Factors of 58329

List of positive integer factors of 58329 that divides 58311 without a remainder.

1, 3, 9, 6481, 19443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58311 and 58329. The biggest common factor number is the GCF number.
So the greatest common factor 58311 and 58329 is 9.

Also check out the Least Common Multiple of 58311 and 58329