What is the Greatest Common Factor of 55096 and 55116?

Greatest common factor (GCF) of 55096 and 55116 is 4.

GCF(55096,55116) = 4

We will now calculate the prime factors of 55096 and 55116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55096 and 55116.

How to find the GCF of 55096 and 55116?

We will first find the prime factorization of 55096 and 55116. After we will calculate the factors of 55096 and 55116 and find the biggest common factor number .

Step-1: Prime Factorization of 55096

Prime factors of 55096 are 2, 71, 97. Prime factorization of 55096 in exponential form is:

55096 = 2³ × 71¹ × 97¹

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 55096

List of positive integer factors of 55096 that divides 55096 without a remainder.

1, 2, 4, 8, 71, 97, 142, 194, 284, 388, 568, 776, 6887, 13774, 27548

Step-4: Factors of 55116

List of positive integer factors of 55116 that divides 55096 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 55096 and 55116. The biggest common factor number is the GCF number.
So the greatest common factor 55096 and 55116 is 4.

Also check out the Least Common Multiple of 55096 and 55116