What is the Greatest Common Factor of 55728 and 55736?

Greatest common factor (GCF) of 55728 and 55736 is 8.

GCF(55728,55736) = 8

We will now calculate the prime factors of 55728 and 55736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55728 and 55736.

How to find the GCF of 55728 and 55736?

We will first find the prime factorization of 55728 and 55736. After we will calculate the factors of 55728 and 55736 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 55736

Prime factors of 55736 are 2, 6967. Prime factorization of 55736 in exponential form is:

55736 = 2³ × 6967¹

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 55736

List of positive integer factors of 55736 that divides 55728 without a remainder.

1, 2, 4, 8, 6967, 13934, 27868

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55728 and 55736. The biggest common factor number is the GCF number.
So the greatest common factor 55728 and 55736 is 8.

Also check out the Least Common Multiple of 55728 and 55736