What is the Greatest Common Factor of 13148 and 13167?

Greatest common factor (GCF) of 13148 and 13167 is 19.

GCF(13148,13167) = 19

We will now calculate the prime factors of 13148 and 13167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13148 and 13167.

How to find the GCF of 13148 and 13167?

We will first find the prime factorization of 13148 and 13167. After we will calculate the factors of 13148 and 13167 and find the biggest common factor number .

Step-1: Prime Factorization of 13148

Prime factors of 13148 are 2, 19, 173. Prime factorization of 13148 in exponential form is:

13148 = 2² × 19¹ × 173¹

Step-2: 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-3: Factors of 13148

List of positive integer factors of 13148 that divides 13148 without a remainder.

1, 2, 4, 19, 38, 76, 173, 346, 692, 3287, 6574

Step-4: Factors of 13167

List of positive integer factors of 13167 that divides 13148 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13148 and 13167. The biggest common factor number is the GCF number.
So the greatest common factor 13148 and 13167 is 19.

Also check out the Least Common Multiple of 13148 and 13167