What is the Greatest Common Factor of 55090 and 55096?

Greatest common factor (GCF) of 55090 and 55096 is 2.

GCF(55090,55096) = 2

We will now calculate the prime factors of 55090 and 55096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55090 and 55096.

How to find the GCF of 55090 and 55096?

We will first find the prime factorization of 55090 and 55096. After we will calculate the factors of 55090 and 55096 and find the biggest common factor number .

Step-1: Prime Factorization of 55090

Prime factors of 55090 are 2, 5, 7, 787. Prime factorization of 55090 in exponential form is:

55090 = 2¹ × 5¹ × 7¹ × 787¹

Step-2: 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-3: Factors of 55090

List of positive integer factors of 55090 that divides 55090 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 787, 1574, 3935, 5509, 7870, 11018, 27545

Step-4: Factors of 55096

List of positive integer factors of 55096 that divides 55090 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55090 and 55096. The biggest common factor number is the GCF number.
So the greatest common factor 55090 and 55096 is 2.

Also check out the Least Common Multiple of 55090 and 55096