What is the Greatest Common Factor of 13167 and 13174?

Greatest common factor (GCF) of 13167 and 13174 is 7.

GCF(13167,13174) = 7

We will now calculate the prime factors of 13167 and 13174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13167 and 13174.

How to find the GCF of 13167 and 13174?

We will first find the prime factorization of 13167 and 13174. After we will calculate the factors of 13167 and 13174 and find the biggest common factor number .

Step-1: Prime Factorization of 13167

Prime factors of 13167 are 3, 7, 11, 19. Prime factorization of 13167 in exponential form is:

13167 = 3² × 7¹ × 11¹ × 19¹

Step-2: 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-3: Factors of 13167

List of positive integer factors of 13167 that divides 13167 without a remainder.

1, 3, 7, 9, 11, 19, 21, 33, 57, 63, 77, 99, 133, 171, 209, 231, 399, 627, 693, 1197, 1463, 1881, 4389

Step-4: Factors of 13174

List of positive integer factors of 13174 that divides 13167 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13167 and 13174. The biggest common factor number is the GCF number.
So the greatest common factor 13167 and 13174 is 7.

Also check out the Least Common Multiple of 13167 and 13174