What is the Greatest Common Factor of 11066 and 11084?

Greatest common factor (GCF) of 11066 and 11084 is 2.

GCF(11066,11084) = 2

We will now calculate the prime factors of 11066 and 11084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11066 and 11084.

How to find the GCF of 11066 and 11084?

We will first find the prime factorization of 11066 and 11084. After we will calculate the factors of 11066 and 11084 and find the biggest common factor number .

Step-1: Prime Factorization of 11066

Prime factors of 11066 are 2, 11, 503. Prime factorization of 11066 in exponential form is:

11066 = 2¹ × 11¹ × 503¹

Step-2: 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-3: Factors of 11066

List of positive integer factors of 11066 that divides 11066 without a remainder.

1, 2, 11, 22, 503, 1006, 5533

Step-4: Factors of 11084

List of positive integer factors of 11084 that divides 11066 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11066 and 11084. The biggest common factor number is the GCF number.
So the greatest common factor 11066 and 11084 is 2.

Also check out the Least Common Multiple of 11066 and 11084