What is the Greatest Common Factor of 11084 and 11098?

Greatest common factor (GCF) of 11084 and 11098 is 2.

GCF(11084,11098) = 2

We will now calculate the prime factors of 11084 and 11098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11084 and 11098.

How to find the GCF of 11084 and 11098?

We will first find the prime factorization of 11084 and 11098. After we will calculate the factors of 11084 and 11098 and find the biggest common factor number .

Step-1: Prime Factorization of 11084

Prime factors of 11084 are 2, 17, 163. Prime factorization of 11084 in exponential form is:

11084 = 2² × 17¹ × 163¹

Step-2: Prime Factorization of 11098

Prime factors of 11098 are 2, 31, 179. Prime factorization of 11098 in exponential form is:

11098 = 2¹ × 31¹ × 179¹

Step-3: Factors of 11084

List of positive integer factors of 11084 that divides 11084 without a remainder.

1, 2, 4, 17, 34, 68, 163, 326, 652, 2771, 5542

Step-4: Factors of 11098

List of positive integer factors of 11098 that divides 11084 without a remainder.

1, 2, 31, 62, 179, 358, 5549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11084 and 11098. The biggest common factor number is the GCF number.
So the greatest common factor 11084 and 11098 is 2.

Also check out the Least Common Multiple of 11084 and 11098