What is the Greatest Common Factor of 13174 and 13178?

Greatest common factor (GCF) of 13174 and 13178 is 2.

GCF(13174,13178) = 2

We will now calculate the prime factors of 13174 and 13178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13174 and 13178.

How to find the GCF of 13174 and 13178?

We will first find the prime factorization of 13174 and 13178. After we will calculate the factors of 13174 and 13178 and find the biggest common factor number .

Step-1: Prime Factorization of 13174

Prime factors of 13174 are 2, 7, 941. Prime factorization of 13174 in exponential form is:

13174 = 2¹ × 7¹ × 941¹

Step-2: Prime Factorization of 13178

Prime factors of 13178 are 2, 11, 599. Prime factorization of 13178 in exponential form is:

13178 = 2¹ × 11¹ × 599¹

Step-3: Factors of 13174

List of positive integer factors of 13174 that divides 13174 without a remainder.

1, 2, 7, 14, 941, 1882, 6587

Step-4: Factors of 13178

List of positive integer factors of 13178 that divides 13174 without a remainder.

1, 2, 11, 22, 599, 1198, 6589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13174 and 13178. The biggest common factor number is the GCF number.
So the greatest common factor 13174 and 13178 is 2.

Also check out the Least Common Multiple of 13174 and 13178