What is the Greatest Common Factor of 55728 and 55740?

Greatest common factor (GCF) of 55728 and 55740 is 12.

GCF(55728,55740) = 12

We will now calculate the prime factors of 55728 and 55740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55728 and 55740.

How to find the GCF of 55728 and 55740?

We will first find the prime factorization of 55728 and 55740. After we will calculate the factors of 55728 and 55740 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 55740

Prime factors of 55740 are 2, 3, 5, 929. Prime factorization of 55740 in exponential form is:

55740 = 2² × 3¹ × 5¹ × 929¹

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 55740

List of positive integer factors of 55740 that divides 55728 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 929, 1858, 2787, 3716, 4645, 5574, 9290, 11148, 13935, 18580, 27870

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55728 and 55740. The biggest common factor number is the GCF number.
So the greatest common factor 55728 and 55740 is 12.

Also check out the Least Common Multiple of 55728 and 55740