What is the Greatest Common Factor of 55128 and 55143?

Greatest common factor (GCF) of 55128 and 55143 is 3.

GCF(55128,55143) = 3

We will now calculate the prime factors of 55128 and 55143, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55128 and 55143.

How to find the GCF of 55128 and 55143?

We will first find the prime factorization of 55128 and 55143. After we will calculate the factors of 55128 and 55143 and find the biggest common factor number .

Step-1: Prime Factorization of 55128

Prime factors of 55128 are 2, 3, 2297. Prime factorization of 55128 in exponential form is:

55128 = 2³ × 3¹ × 2297¹

Step-2: Prime Factorization of 55143

Prime factors of 55143 are 3, 11, 557. Prime factorization of 55143 in exponential form is:

55143 = 3² × 11¹ × 557¹

Step-3: Factors of 55128

List of positive integer factors of 55128 that divides 55128 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2297, 4594, 6891, 9188, 13782, 18376, 27564

Step-4: Factors of 55143

List of positive integer factors of 55143 that divides 55128 without a remainder.

1, 3, 9, 11, 33, 99, 557, 1671, 5013, 6127, 18381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55128 and 55143. The biggest common factor number is the GCF number.
So the greatest common factor 55128 and 55143 is 3.

Also check out the Least Common Multiple of 55128 and 55143