What is the Greatest Common Factor of 58329 and 58344?

Greatest common factor (GCF) of 58329 and 58344 is 3.

GCF(58329,58344) = 3

We will now calculate the prime factors of 58329 and 58344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58329 and 58344.

How to find the GCF of 58329 and 58344?

We will first find the prime factorization of 58329 and 58344. After we will calculate the factors of 58329 and 58344 and find the biggest common factor number .

Step-1: Prime Factorization of 58329

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

58329 = 3² × 6481¹

Step-2: Prime Factorization of 58344

Prime factors of 58344 are 2, 3, 11, 13, 17. Prime factorization of 58344 in exponential form is:

58344 = 2³ × 3¹ × 11¹ × 13¹ × 17¹

Step-3: Factors of 58329

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

1, 3, 9, 6481, 19443

Step-4: Factors of 58344

List of positive integer factors of 58344 that divides 58329 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 13, 17, 22, 24, 26, 33, 34, 39, 44, 51, 52, 66, 68, 78, 88, 102, 104, 132, 136, 143, 156, 187, 204, 221, 264, 286, 312, 374, 408, 429, 442, 561, 572, 663, 748, 858, 884, 1122, 1144, 1326, 1496, 1716, 1768, 2244, 2431, 2652, 3432, 4488, 4862, 5304, 7293, 9724, 14586, 19448, 29172

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58329 and 58344. The biggest common factor number is the GCF number.
So the greatest common factor 58329 and 58344 is 3.

Also check out the Least Common Multiple of 58329 and 58344