What is the Greatest Common Factor of 55728 and 55743?

Greatest common factor (GCF) of 55728 and 55743 is 3.

GCF(55728,55743) = 3

We will now calculate the prime factors of 55728 and 55743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55728 and 55743.

How to find the GCF of 55728 and 55743?

We will first find the prime factorization of 55728 and 55743. After we will calculate the factors of 55728 and 55743 and find the biggest common factor number .

Step-1: Prime Factorization of 55728

Prime factors of 55728 are 2, 3, 43. Prime factorization of 55728 in exponential form is:

55728 = 2⁴ × 3⁴ × 43¹

Step-2: Prime Factorization of 55743

Prime factors of 55743 are 3, 17, 1093. Prime factorization of 55743 in exponential form is:

55743 = 3¹ × 17¹ × 1093¹

Step-3: Factors of 55728

List of positive integer factors of 55728 that divides 55728 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 43, 48, 54, 72, 81, 86, 108, 129, 144, 162, 172, 216, 258, 324, 344, 387, 432, 516, 648, 688, 774, 1032, 1161, 1296, 1548, 2064, 2322, 3096, 3483, 4644, 6192, 6966, 9288, 13932, 18576, 27864

Step-4: Factors of 55743

List of positive integer factors of 55743 that divides 55728 without a remainder.

1, 3, 17, 51, 1093, 3279, 18581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55728 and 55743. The biggest common factor number is the GCF number.
So the greatest common factor 55728 and 55743 is 3.

Also check out the Least Common Multiple of 55728 and 55743