What is the Greatest Common Factor of 55728 and 55738?

Greatest common factor (GCF) of 55728 and 55738 is 2.

GCF(55728,55738) = 2

We will now calculate the prime factors of 55728 and 55738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55728 and 55738.

How to find the GCF of 55728 and 55738?

We will first find the prime factorization of 55728 and 55738. After we will calculate the factors of 55728 and 55738 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 55738

Prime factors of 55738 are 2, 29, 31. Prime factorization of 55738 in exponential form is:

55738 = 2¹ × 29¹ × 31²

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 55738

List of positive integer factors of 55738 that divides 55728 without a remainder.

1, 2, 29, 31, 58, 62, 899, 961, 1798, 1922, 27869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55728 and 55738. The biggest common factor number is the GCF number.
So the greatest common factor 55728 and 55738 is 2.

Also check out the Least Common Multiple of 55728 and 55738