What is the Greatest Common Factor of 11168 and 11174?

Greatest common factor (GCF) of 11168 and 11174 is 2.

GCF(11168,11174) = 2

We will now calculate the prime factors of 11168 and 11174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11168 and 11174.

How to find the GCF of 11168 and 11174?

We will first find the prime factorization of 11168 and 11174. After we will calculate the factors of 11168 and 11174 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 11174

Prime factors of 11174 are 2, 37, 151. Prime factorization of 11174 in exponential form is:

11174 = 2¹ × 37¹ × 151¹

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 11174

List of positive integer factors of 11174 that divides 11168 without a remainder.

1, 2, 37, 74, 151, 302, 5587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11168 and 11174. The biggest common factor number is the GCF number.
So the greatest common factor 11168 and 11174 is 2.

Also check out the Least Common Multiple of 11168 and 11174