What is the Greatest Common Factor of 58344 and 58356?

Greatest common factor (GCF) of 58344 and 58356 is 12.

GCF(58344,58356) = 12

We will now calculate the prime factors of 58344 and 58356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58344 and 58356.

How to find the GCF of 58344 and 58356?

We will first find the prime factorization of 58344 and 58356. After we will calculate the factors of 58344 and 58356 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 58356

Prime factors of 58356 are 2, 3, 1621. Prime factorization of 58356 in exponential form is:

58356 = 2² × 3² × 1621¹

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 58356

List of positive integer factors of 58356 that divides 58344 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1621, 3242, 4863, 6484, 9726, 14589, 19452, 29178

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58344 and 58356. The biggest common factor number is the GCF number.
So the greatest common factor 58344 and 58356 is 12.

Also check out the Least Common Multiple of 58344 and 58356