Greatest Common Factor of 13371 and 13377

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 13371, 13377 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13371 and 13377 is 3.

GCF(13371,13377) = 3

GCF of 13371 and 13377

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

GCF of:
and

Greatest Common Factor of 13371 and 13377

GCF of 13371 and 13377 is 3

Prime Factorization of 13371


3 13371
4457 4457
1

Prime factors of 13371 are 3,4457. Prime factorization of 13371 in exponential form is:

13371 = 31×44571

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

∴ So by taking common prime factors GCF of 13371 and 13377 is 3

Greatest Common Factor of 13371 and 13377 by matching factors method

Factors of 13371

List of positive integer factors of 13371 that divides 13371 without a remainder.

1,3,4457,13371

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

Greatest Common Factor

We found the factors and prime factorization of 13371 and 13377. The biggest common factor number is the GCF number.
So the greatest common factor 13371 and 13377 is 3.

Also check out the Least Common Multiple of 13371 and 13377

Properties of GCF 13371 and 13377

(i) The GCF of 13371 and 13377 is associative

GCF of 13371 and 13377 = GCF of 13377 and 13371

Related Greatest Common Factor of 13371

Related Greatest Common Factor of 13377

Frequently Asked Questions on GCF of 13371 and 13377

1. What is the GCF of 13371 and 13377?

Answer: GCF of 13371 and 13377 is 3.

2. What are the Factors of 13371?

Answer: Factors of 13371 are 1, 3, 4457, 13371. There are 4 integers that are factors of 13371. The greatest factor of 13371 is 13371.

3. 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.

4. How to Find the GCF of 13371 and 13377?

Answer:

Greatest Common Factor of 13371 and 13377 = 3

Step 1: Find the prime factorization of 13371

13371 = 3 x 4457

Step 2: Find the prime factorization of 13377

13377 = 3 x 7 x 7 x 7 x 13

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 13371 and 13377 is 3