What is the Greatest Common Factor of 55728 and 55744?

Greatest common factor (GCF) of 55728 and 55744 is 16.

GCF(55728,55744) = 16

We will now calculate the prime factors of 55728 and 55744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55728 and 55744.

How to find the GCF of 55728 and 55744?

We will first find the prime factorization of 55728 and 55744. After we will calculate the factors of 55728 and 55744 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 55744

Prime factors of 55744 are 2, 13, 67. Prime factorization of 55744 in exponential form is:

55744 = 2⁶ × 13¹ × 67¹

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 55744

List of positive integer factors of 55744 that divides 55728 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 67, 104, 134, 208, 268, 416, 536, 832, 871, 1072, 1742, 2144, 3484, 4288, 6968, 13936, 27872

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55728 and 55744. The biggest common factor number is the GCF number.
So the greatest common factor 55728 and 55744 is 16.

Also check out the Least Common Multiple of 55728 and 55744