What is the Greatest Common Factor of 58296 and 58311?

Greatest common factor (GCF) of 58296 and 58311 is 3.

GCF(58296,58311) = 3

We will now calculate the prime factors of 58296 and 58311, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58296 and 58311.

How to find the GCF of 58296 and 58311?

We will first find the prime factorization of 58296 and 58311. After we will calculate the factors of 58296 and 58311 and find the biggest common factor number .

Step-1: Prime Factorization of 58296

Prime factors of 58296 are 2, 3, 7, 347. Prime factorization of 58296 in exponential form is:

58296 = 2³ × 3¹ × 7¹ × 347¹

Step-2: 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-3: Factors of 58296

List of positive integer factors of 58296 that divides 58296 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 347, 694, 1041, 1388, 2082, 2429, 2776, 4164, 4858, 7287, 8328, 9716, 14574, 19432, 29148

Step-4: Factors of 58311

List of positive integer factors of 58311 that divides 58296 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58296 and 58311. The biggest common factor number is the GCF number.
So the greatest common factor 58296 and 58311 is 3.

Also check out the Least Common Multiple of 58296 and 58311