What is the Greatest Common Factor of 55098 and 55116?

Greatest common factor (GCF) of 55098 and 55116 is 18.

GCF(55098,55116) = 18

We will now calculate the prime factors of 55098 and 55116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55098 and 55116.

How to find the GCF of 55098 and 55116?

We will first find the prime factorization of 55098 and 55116. After we will calculate the factors of 55098 and 55116 and find the biggest common factor number .

Step-1: Prime Factorization of 55098

Prime factors of 55098 are 2, 3, 3061. Prime factorization of 55098 in exponential form is:

55098 = 2¹ × 3² × 3061¹

Step-2: Prime Factorization of 55116

Prime factors of 55116 are 2, 3, 1531. Prime factorization of 55116 in exponential form is:

55116 = 2² × 3² × 1531¹

Step-3: Factors of 55098

List of positive integer factors of 55098 that divides 55098 without a remainder.

1, 2, 3, 6, 9, 18, 3061, 6122, 9183, 18366, 27549

Step-4: Factors of 55116

List of positive integer factors of 55116 that divides 55098 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1531, 3062, 4593, 6124, 9186, 13779, 18372, 27558

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55098 and 55116. The biggest common factor number is the GCF number.
So the greatest common factor 55098 and 55116 is 18.

Also check out the Least Common Multiple of 55098 and 55116