What is the Greatest Common Factor of 55096 and 55109?

Greatest common factor (GCF) of 55096 and 55109 is 1.

GCF(55096,55109) = 1

We will now calculate the prime factors of 55096 and 55109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55096 and 55109.

How to find the GCF of 55096 and 55109?

We will first find the prime factorization of 55096 and 55109. After we will calculate the factors of 55096 and 55109 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 55109

Prime factors of 55109 are 55109. Prime factorization of 55109 in exponential form is:

55109 = 55109¹

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 55109

List of positive integer factors of 55109 that divides 55096 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55096 and 55109. The biggest common factor number is the GCF number.
So the greatest common factor 55096 and 55109 is 1.

Also check out the Least Common Multiple of 55096 and 55109