What is the Greatest Common Factor of 55089 and 55104?

Greatest common factor (GCF) of 55089 and 55104 is 3.

GCF(55089,55104) = 3

We will now calculate the prime factors of 55089 and 55104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55089 and 55104.

How to find the GCF of 55089 and 55104?

We will first find the prime factorization of 55089 and 55104. After we will calculate the factors of 55089 and 55104 and find the biggest common factor number .

Step-1: Prime Factorization of 55089

Prime factors of 55089 are 3, 6121. Prime factorization of 55089 in exponential form is:

55089 = 3² × 6121¹

Step-2: Prime Factorization of 55104

Prime factors of 55104 are 2, 3, 7, 41. Prime factorization of 55104 in exponential form is:

55104 = 2⁶ × 3¹ × 7¹ × 41¹

Step-3: Factors of 55089

List of positive integer factors of 55089 that divides 55089 without a remainder.

1, 3, 9, 6121, 18363

Step-4: Factors of 55104

List of positive integer factors of 55104 that divides 55089 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 41, 42, 48, 56, 64, 82, 84, 96, 112, 123, 164, 168, 192, 224, 246, 287, 328, 336, 448, 492, 574, 656, 672, 861, 984, 1148, 1312, 1344, 1722, 1968, 2296, 2624, 3444, 3936, 4592, 6888, 7872, 9184, 13776, 18368, 27552

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55089 and 55104. The biggest common factor number is the GCF number.
So the greatest common factor 55089 and 55104 is 3.

Also check out the Least Common Multiple of 55089 and 55104