What is the Greatest Common Factor of 13134 and 13149?

Greatest common factor (GCF) of 13134 and 13149 is 3.

GCF(13134,13149) = 3

We will now calculate the prime factors of 13134 and 13149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13134 and 13149.

How to find the GCF of 13134 and 13149?

We will first find the prime factorization of 13134 and 13149. After we will calculate the factors of 13134 and 13149 and find the biggest common factor number .

Step-1: Prime Factorization of 13134

Prime factors of 13134 are 2, 3, 11, 199. Prime factorization of 13134 in exponential form is:

13134 = 2¹ × 3¹ × 11¹ × 199¹

Step-2: Prime Factorization of 13149

Prime factors of 13149 are 3, 487. Prime factorization of 13149 in exponential form is:

13149 = 3³ × 487¹

Step-3: Factors of 13134

List of positive integer factors of 13134 that divides 13134 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 199, 398, 597, 1194, 2189, 4378, 6567

Step-4: Factors of 13149

List of positive integer factors of 13149 that divides 13134 without a remainder.

1, 3, 9, 27, 487, 1461, 4383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13134 and 13149. The biggest common factor number is the GCF number.
So the greatest common factor 13134 and 13149 is 3.

Also check out the Least Common Multiple of 13134 and 13149