What is the Greatest Common Factor of 55728 and 55746?

Greatest common factor (GCF) of 55728 and 55746 is 18.

GCF(55728,55746) = 18

We will now calculate the prime factors of 55728 and 55746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55728 and 55746.

How to find the GCF of 55728 and 55746?

We will first find the prime factorization of 55728 and 55746. After we will calculate the factors of 55728 and 55746 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 55746

Prime factors of 55746 are 2, 3, 19, 163. Prime factorization of 55746 in exponential form is:

55746 = 2¹ × 3² × 19¹ × 163¹

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 55746

List of positive integer factors of 55746 that divides 55728 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 163, 171, 326, 342, 489, 978, 1467, 2934, 3097, 6194, 9291, 18582, 27873

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55728 and 55746. The biggest common factor number is the GCF number.
So the greatest common factor 55728 and 55746 is 18.

Also check out the Least Common Multiple of 55728 and 55746