What is the Greatest Common Factor of 13368 and 13386?

Greatest common factor (GCF) of 13368 and 13386 is 6.

GCF(13368,13386) = 6

We will now calculate the prime factors of 13368 and 13386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13368 and 13386.

How to find the GCF of 13368 and 13386?

We will first find the prime factorization of 13368 and 13386. After we will calculate the factors of 13368 and 13386 and find the biggest common factor number .

Step-1: Prime Factorization of 13368

Prime factors of 13368 are 2, 3, 557. Prime factorization of 13368 in exponential form is:

13368 = 2³ × 3¹ × 557¹

Step-2: Prime Factorization of 13386

Prime factors of 13386 are 2, 3, 23, 97. Prime factorization of 13386 in exponential form is:

13386 = 2¹ × 3¹ × 23¹ × 97¹

Step-3: Factors of 13368

List of positive integer factors of 13368 that divides 13368 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 557, 1114, 1671, 2228, 3342, 4456, 6684

Step-4: Factors of 13386

List of positive integer factors of 13386 that divides 13368 without a remainder.

1, 2, 3, 6, 23, 46, 69, 97, 138, 194, 291, 582, 2231, 4462, 6693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13368 and 13386. The biggest common factor number is the GCF number.
So the greatest common factor 13368 and 13386 is 6.

Also check out the Least Common Multiple of 13368 and 13386