What is the Greatest Common Factor of 11168 and 11186?

Greatest common factor (GCF) of 11168 and 11186 is 2.

GCF(11168,11186) = 2

We will now calculate the prime factors of 11168 and 11186, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11168 and 11186.

How to find the GCF of 11168 and 11186?

We will first find the prime factorization of 11168 and 11186. After we will calculate the factors of 11168 and 11186 and find the biggest common factor number .

Step-1: Prime Factorization of 11168

Prime factors of 11168 are 2, 349. Prime factorization of 11168 in exponential form is:

11168 = 2⁵ × 349¹

Step-2: Prime Factorization of 11186

Prime factors of 11186 are 2, 7, 17, 47. Prime factorization of 11186 in exponential form is:

11186 = 2¹ × 7¹ × 17¹ × 47¹

Step-3: Factors of 11168

List of positive integer factors of 11168 that divides 11168 without a remainder.

1, 2, 4, 8, 16, 32, 349, 698, 1396, 2792, 5584

Step-4: Factors of 11186

List of positive integer factors of 11186 that divides 11168 without a remainder.

1, 2, 7, 14, 17, 34, 47, 94, 119, 238, 329, 658, 799, 1598, 5593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11168 and 11186. The biggest common factor number is the GCF number.
So the greatest common factor 11168 and 11186 is 2.

Also check out the Least Common Multiple of 11168 and 11186