What is the Greatest Common Factor of 55712 and 55728?

Greatest common factor (GCF) of 55712 and 55728 is 16.

GCF(55712,55728) = 16

We will now calculate the prime factors of 55712 and 55728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55712 and 55728.

How to find the GCF of 55712 and 55728?

We will first find the prime factorization of 55712 and 55728. After we will calculate the factors of 55712 and 55728 and find the biggest common factor number .

Step-1: Prime Factorization of 55712

Prime factors of 55712 are 2, 1741. Prime factorization of 55712 in exponential form is:

55712 = 2⁵ × 1741¹

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 55712

List of positive integer factors of 55712 that divides 55712 without a remainder.

1, 2, 4, 8, 16, 32, 1741, 3482, 6964, 13928, 27856

Step-4: Factors of 55728

List of positive integer factors of 55728 that divides 55712 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 55712 and 55728. The biggest common factor number is the GCF number.
So the greatest common factor 55712 and 55728 is 16.

Also check out the Least Common Multiple of 55712 and 55728