What is the Greatest Common Factor of 58340 and 58344?

Greatest common factor (GCF) of 58340 and 58344 is 4.

GCF(58340,58344) = 4

We will now calculate the prime factors of 58340 and 58344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58340 and 58344.

How to find the GCF of 58340 and 58344?

We will first find the prime factorization of 58340 and 58344. After we will calculate the factors of 58340 and 58344 and find the biggest common factor number .

Step-1: Prime Factorization of 58340

Prime factors of 58340 are 2, 5, 2917. Prime factorization of 58340 in exponential form is:

58340 = 2² × 5¹ × 2917¹

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 58340

List of positive integer factors of 58340 that divides 58340 without a remainder.

1, 2, 4, 5, 10, 20, 2917, 5834, 11668, 14585, 29170

Step-4: Factors of 58344

List of positive integer factors of 58344 that divides 58340 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 58340 and 58344. The biggest common factor number is the GCF number.
So the greatest common factor 58340 and 58344 is 4.

Also check out the Least Common Multiple of 58340 and 58344