What is the Greatest Common Factor of 58333 and 58344?

Greatest common factor (GCF) of 58333 and 58344 is 11.

GCF(58333,58344) = 11

We will now calculate the prime factors of 58333 and 58344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58333 and 58344.

How to find the GCF of 58333 and 58344?

We will first find the prime factorization of 58333 and 58344. After we will calculate the factors of 58333 and 58344 and find the biggest common factor number .

Step-1: Prime Factorization of 58333

Prime factors of 58333 are 11, 5303. Prime factorization of 58333 in exponential form is:

58333 = 11¹ × 5303¹

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 58333

List of positive integer factors of 58333 that divides 58333 without a remainder.

1, 11, 5303

Step-4: Factors of 58344

List of positive integer factors of 58344 that divides 58333 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 58333 and 58344. The biggest common factor number is the GCF number.
So the greatest common factor 58333 and 58344 is 11.

Also check out the Least Common Multiple of 58333 and 58344