What is the Greatest Common Factor of 13377 and 13383?

Greatest common factor (GCF) of 13377 and 13383 is 3.

GCF(13377,13383) = 3

We will now calculate the prime factors of 13377 and 13383, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13377 and 13383.

How to find the GCF of 13377 and 13383?

We will first find the prime factorization of 13377 and 13383. After we will calculate the factors of 13377 and 13383 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 13383

Prime factors of 13383 are 3, 1487. Prime factorization of 13383 in exponential form is:

13383 = 3² × 1487¹

Step-3: Factors of 13377

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

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

Step-4: Factors of 13383

List of positive integer factors of 13383 that divides 13377 without a remainder.

1, 3, 9, 1487, 4461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13377 and 13383. The biggest common factor number is the GCF number.
So the greatest common factor 13377 and 13383 is 3.

Also check out the Least Common Multiple of 13377 and 13383