What is the Greatest Common Factor of 58339 and 58344?

Greatest common factor (GCF) of 58339 and 58344 is 1.

GCF(58339,58344) = 1

We will now calculate the prime factors of 58339 and 58344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58339 and 58344.

How to find the GCF of 58339 and 58344?

We will first find the prime factorization of 58339 and 58344. After we will calculate the factors of 58339 and 58344 and find the biggest common factor number .

Step-1: Prime Factorization of 58339

Prime factors of 58339 are 227, 257. Prime factorization of 58339 in exponential form is:

58339 = 227¹ × 257¹

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 58339

List of positive integer factors of 58339 that divides 58339 without a remainder.

1, 227, 257

Step-4: Factors of 58344

List of positive integer factors of 58344 that divides 58339 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 58339 and 58344. The biggest common factor number is the GCF number.
So the greatest common factor 58339 and 58344 is 1.

Also check out the Least Common Multiple of 58339 and 58344