Greatest Common Factor of 13405 and 13409

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 13405, 13409 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13405 and 13409 is 1.

GCF(13405,13409) = 1

GCF of 13405 and 13409

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

GCF of:
and

Greatest Common Factor of 13405 and 13409

GCF of 13405 and 13409 is 1

Prime Factorization of 13405


5 13405
7 2681
383 383
1

Prime factors of 13405 are 5,7,383. Prime factorization of 13405 in exponential form is:

13405 = 51×71×3831

Prime Factorization of 13409


11 13409
23 1219
53 53
1

Prime factors of 13409 are 11,23,53. Prime factorization of 13409 in exponential form is:

13409 = 111×231×531

∴ So by taking common prime factors GCF of 13405 and 13409 is 1

Greatest Common Factor of 13405 and 13409 by matching factors method

Factors of 13405

List of positive integer factors of 13405 that divides 13405 without a remainder.

1,5,7,35,383,1915,2681,13405

Factors of 13409

List of positive integer factors of 13409 that divides 13409 without a remainder.

1,11,23,53,253,583,1219,13409

Greatest Common Factor

We found the factors and prime factorization of 13405 and 13409. The biggest common factor number is the GCF number.
So the greatest common factor 13405 and 13409 is 1.

Also check out the Least Common Multiple of 13405 and 13409

Properties of GCF 13405 and 13409

(i) The GCF of 13405 and 13409 is associative

GCF of 13405 and 13409 = GCF of 13409 and 13405

Related Greatest Common Factor of 13405

Related Greatest Common Factor of 13409

Frequently Asked Questions on GCF of 13405 and 13409

1. What is the GCF of 13405 and 13409?

Answer: GCF of 13405 and 13409 is 1.

2. What are the Factors of 13405?

Answer: Factors of 13405 are 1, 5, 7, 35, 383, 1915, 2681, 13405. There are 8 integers that are factors of 13405. The greatest factor of 13405 is 13405.

3. What are the Factors of 13409?

Answer: Factors of 13409 are 1, 11, 23, 53, 253, 583, 1219, 13409. There are 8 integers that are factors of 13409. The greatest factor of 13409 is 13409.

4. How to Find the GCF of 13405 and 13409?

Answer:

Greatest Common Factor of 13405 and 13409 = 1

Step 1: Find the prime factorization of 13405

13405 = 5 x 7 x 383

Step 2: Find the prime factorization of 13409

13409 = 11 x 23 x 53

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 13405 and 13409 is 1