What is the Greatest Common Factor of 55719 and 55728?

Greatest common factor (GCF) of 55719 and 55728 is 9.

GCF(55719,55728) = 9

We will now calculate the prime factors of 55719 and 55728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55719 and 55728.

How to find the GCF of 55719 and 55728?

We will first find the prime factorization of 55719 and 55728. After we will calculate the factors of 55719 and 55728 and find the biggest common factor number .

Step-1: Prime Factorization of 55719

Prime factors of 55719 are 3, 41, 151. Prime factorization of 55719 in exponential form is:

55719 = 3² × 41¹ × 151¹

Step-2: 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-3: Factors of 55719

List of positive integer factors of 55719 that divides 55719 without a remainder.

1, 3, 9, 41, 123, 151, 369, 453, 1359, 6191, 18573

Step-4: Factors of 55728

List of positive integer factors of 55728 that divides 55719 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55719 and 55728. The biggest common factor number is the GCF number.
So the greatest common factor 55719 and 55728 is 9.

Also check out the Least Common Multiple of 55719 and 55728