What is the Greatest Common Factor of 11174 and 11180?

Greatest common factor (GCF) of 11174 and 11180 is 2.

GCF(11174,11180) = 2

We will now calculate the prime factors of 11174 and 11180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11174 and 11180.

How to find the GCF of 11174 and 11180?

We will first find the prime factorization of 11174 and 11180. After we will calculate the factors of 11174 and 11180 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 11180

Prime factors of 11180 are 2, 5, 13, 43. Prime factorization of 11180 in exponential form is:

11180 = 2² × 5¹ × 13¹ × 43¹

Step-3: Factors of 11174

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

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

Step-4: Factors of 11180

List of positive integer factors of 11180 that divides 11174 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 43, 52, 65, 86, 130, 172, 215, 260, 430, 559, 860, 1118, 2236, 2795, 5590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11174 and 11180. The biggest common factor number is the GCF number.
So the greatest common factor 11174 and 11180 is 2.

Also check out the Least Common Multiple of 11174 and 11180