Greatest Common Factor of 13377 and 13383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 13377, 13383 i.e. 3 largest integer by which both the numbers can be divided.

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

GCF(13377,13383) = 3

GCF of 13377 and 13383

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 13377 and 13383

GCF of 13377 and 13383 is 3

Prime Factorization of 13377


3 13377
7 4459
7 637
7 91
13 13
1

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

13377 = 31×73×131

Prime Factorization of 13383


3 13383
3 4461
1487 1487
1

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

13383 = 32×14871

∴ So by taking common prime factors GCF of 13377 and 13383 is 3

Greatest Common Factor of 13377 and 13383 by matching factors method

Factors of 13377

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

1,3,7,13,21,39,49,91,147,273,343,637,1029,1911,4459,13377

Factors of 13383

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

1,3,9,1487,4461,13383

Greatest Common Factor

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

Properties of GCF 13377 and 13383

(i) The GCF of 13377 and 13383 is associative

GCF of 13377 and 13383 = GCF of 13383 and 13377

Related Greatest Common Factor of 13377

Related Greatest Common Factor of 13383

Frequently Asked Questions on GCF of 13377 and 13383

1. What is the GCF of 13377 and 13383?

Answer: GCF of 13377 and 13383 is 3.

2. What are the Factors of 13377?

Answer: Factors of 13377 are 1, 3, 7, 13, 21, 39, 49, 91, 147, 273, 343, 637, 1029, 1911, 4459, 13377. There are 16 integers that are factors of 13377. The greatest factor of 13377 is 13377.

3. What are the Factors of 13383?

Answer: Factors of 13383 are 1, 3, 9, 1487, 4461, 13383. There are 6 integers that are factors of 13383. The greatest factor of 13383 is 13383.

4. How to Find the GCF of 13377 and 13383?

Answer:

Greatest Common Factor of 13377 and 13383 = 3

Step 1: Find the prime factorization of 13377

13377 = 3 x 7 x 7 x 7 x 13

Step 2: Find the prime factorization of 13383

13383 = 3 x 3 x 1487

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 13377 and 13383 is 3