What is the Greatest Common Factor of 41174 and 41188?

Greatest common factor (GCF) of 41174 and 41188 is 14.

GCF(41174,41188) = 14

We will now calculate the prime factors of 41174 and 41188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41174 and 41188.

How to find the GCF of 41174 and 41188?

We will first find the prime factorization of 41174 and 41188. After we will calculate the factors of 41174 and 41188 and find the biggest common factor number .

Step-1: Prime Factorization of 41174

Prime factors of 41174 are 2, 7, 17, 173. Prime factorization of 41174 in exponential form is:

41174 = 2¹ × 7¹ × 17¹ × 173¹

Step-2: Prime Factorization of 41188

Prime factors of 41188 are 2, 7, 1471. Prime factorization of 41188 in exponential form is:

41188 = 2² × 7¹ × 1471¹

Step-3: Factors of 41174

List of positive integer factors of 41174 that divides 41174 without a remainder.

1, 2, 7, 14, 17, 34, 119, 173, 238, 346, 1211, 2422, 2941, 5882, 20587

Step-4: Factors of 41188

List of positive integer factors of 41188 that divides 41174 without a remainder.

1, 2, 4, 7, 14, 28, 1471, 2942, 5884, 10297, 20594

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41174 and 41188. The biggest common factor number is the GCF number.
So the greatest common factor 41174 and 41188 is 14.

Also check out the Least Common Multiple of 41174 and 41188