What is the Greatest Common Factor of 58344 and 58355?

Greatest common factor (GCF) of 58344 and 58355 is 11.

GCF(58344,58355) = 11

We will now calculate the prime factors of 58344 and 58355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58344 and 58355.

How to find the GCF of 58344 and 58355?

We will first find the prime factorization of 58344 and 58355. After we will calculate the factors of 58344 and 58355 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58355

Prime factors of 58355 are 5, 11, 1061. Prime factorization of 58355 in exponential form is:

58355 = 5¹ × 11¹ × 1061¹

Step-3: Factors of 58344

List of positive integer factors of 58344 that divides 58344 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

Step-4: Factors of 58355

List of positive integer factors of 58355 that divides 58344 without a remainder.

1, 5, 11, 55, 1061, 5305, 11671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58344 and 58355. The biggest common factor number is the GCF number.
So the greatest common factor 58344 and 58355 is 11.

Also check out the Least Common Multiple of 58344 and 58355