What is the Greatest Common Factor of 55119 and 55128?

Greatest common factor (GCF) of 55119 and 55128 is 3.

GCF(55119,55128) = 3

We will now calculate the prime factors of 55119 and 55128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55119 and 55128.

How to find the GCF of 55119 and 55128?

We will first find the prime factorization of 55119 and 55128. After we will calculate the factors of 55119 and 55128 and find the biggest common factor number .

Step-1: Prime Factorization of 55119

Prime factors of 55119 are 3, 19, 967. Prime factorization of 55119 in exponential form is:

55119 = 3¹ × 19¹ × 967¹

Step-2: 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-3: Factors of 55119

List of positive integer factors of 55119 that divides 55119 without a remainder.

1, 3, 19, 57, 967, 2901, 18373

Step-4: Factors of 55128

List of positive integer factors of 55128 that divides 55119 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55119 and 55128. The biggest common factor number is the GCF number.
So the greatest common factor 55119 and 55128 is 3.

Also check out the Least Common Multiple of 55119 and 55128