What is the Greatest Common Factor of 13368 and 13377?

Greatest common factor (GCF) of 13368 and 13377 is 3.

GCF(13368,13377) = 3

We will now calculate the prime factors of 13368 and 13377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13368 and 13377.

How to find the GCF of 13368 and 13377?

We will first find the prime factorization of 13368 and 13377. After we will calculate the factors of 13368 and 13377 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 13377

Prime factors of 13377 are 3, 7, 13. Prime factorization of 13377 in exponential form is:

13377 = 3¹ × 7³ × 13¹

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 13377

List of positive integer factors of 13377 that divides 13368 without a remainder.

1, 3, 7, 13, 21, 39, 49, 91, 147, 273, 343, 637, 1029, 1911, 4459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13368 and 13377. The biggest common factor number is the GCF number.
So the greatest common factor 13368 and 13377 is 3.

Also check out the Least Common Multiple of 13368 and 13377