Greatest Common Factor of 13431 and 13437

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 13431, 13437 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13431 and 13437 is 3.

GCF(13431,13437) = 3

GCF of 13431 and 13437

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

GCF of:
and

Greatest Common Factor of 13431 and 13437

GCF of 13431 and 13437 is 3

Prime Factorization of 13431


3 13431
11 4477
11 407
37 37
1

Prime factors of 13431 are 3,11,37. Prime factorization of 13431 in exponential form is:

13431 = 31×112×371

Prime Factorization of 13437


3 13437
3 4479
1493 1493
1

Prime factors of 13437 are 3,1493. Prime factorization of 13437 in exponential form is:

13437 = 32×14931

∴ So by taking common prime factors GCF of 13431 and 13437 is 3

Greatest Common Factor of 13431 and 13437 by matching factors method

Factors of 13431

List of positive integer factors of 13431 that divides 13431 without a remainder.

1,3,11,33,37,111,121,363,407,1221,4477,13431

Factors of 13437

List of positive integer factors of 13437 that divides 13437 without a remainder.

1,3,9,1493,4479,13437

Greatest Common Factor

We found the factors and prime factorization of 13431 and 13437. The biggest common factor number is the GCF number.
So the greatest common factor 13431 and 13437 is 3.

Also check out the Least Common Multiple of 13431 and 13437

Properties of GCF 13431 and 13437

(i) The GCF of 13431 and 13437 is associative

GCF of 13431 and 13437 = GCF of 13437 and 13431

Related Greatest Common Factor of 13431

Related Greatest Common Factor of 13437

Frequently Asked Questions on GCF of 13431 and 13437

1. What is the GCF of 13431 and 13437?

Answer: GCF of 13431 and 13437 is 3.

2. What are the Factors of 13431?

Answer: Factors of 13431 are 1, 3, 11, 33, 37, 111, 121, 363, 407, 1221, 4477, 13431. There are 12 integers that are factors of 13431. The greatest factor of 13431 is 13431.

3. What are the Factors of 13437?

Answer: Factors of 13437 are 1, 3, 9, 1493, 4479, 13437. There are 6 integers that are factors of 13437. The greatest factor of 13437 is 13437.

4. How to Find the GCF of 13431 and 13437?

Answer:

Greatest Common Factor of 13431 and 13437 = 3

Step 1: Find the prime factorization of 13431

13431 = 3 x 11 x 11 x 37

Step 2: Find the prime factorization of 13437

13437 = 3 x 3 x 1493

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 13431 and 13437 is 3