Greatest Common Factor of 6404 and 6409

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 6404, 6409 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6404 and 6409 is 1.

GCF(6404,6409) = 1

GCF of 6404 and 6409

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

GCF of:
and

Greatest Common Factor of 6404 and 6409

GCF of 6404 and 6409 is 1

Prime Factorization of 6404


2 6404
2 3202
1601 1601
1

Prime factors of 6404 are 2,1601. Prime factorization of 6404 in exponential form is:

6404 = 22×16011

Prime Factorization of 6409


13 6409
17 493
29 29
1

Prime factors of 6409 are 13,17,29. Prime factorization of 6409 in exponential form is:

6409 = 131×171×291

∴ So by taking common prime factors GCF of 6404 and 6409 is 1

Greatest Common Factor of 6404 and 6409 by matching factors method

Factors of 6404

List of positive integer factors of 6404 that divides 6404 without a remainder.

1,2,4,1601,3202,6404

Factors of 6409

List of positive integer factors of 6409 that divides 6409 without a remainder.

1,13,17,29,221,377,493,6409

Greatest Common Factor

We found the factors and prime factorization of 6404 and 6409. The biggest common factor number is the GCF number.
So the greatest common factor 6404 and 6409 is 1.

Also check out the Least Common Multiple of 6404 and 6409

Properties of GCF 6404 and 6409

(i) The GCF of 6404 and 6409 is associative

GCF of 6404 and 6409 = GCF of 6409 and 6404

Related Greatest Common Factor of 6404

Related Greatest Common Factor of 6409

Frequently Asked Questions on GCF of 6404 and 6409

1. What is the GCF of 6404 and 6409?

Answer: GCF of 6404 and 6409 is 1.

2. What are the Factors of 6404?

Answer: Factors of 6404 are 1, 2, 4, 1601, 3202, 6404. There are 6 integers that are factors of 6404. The greatest factor of 6404 is 6404.

3. What are the Factors of 6409?

Answer: Factors of 6409 are 1, 13, 17, 29, 221, 377, 493, 6409. There are 8 integers that are factors of 6409. The greatest factor of 6409 is 6409.

4. How to Find the GCF of 6404 and 6409?

Answer:

Greatest Common Factor of 6404 and 6409 = 1

Step 1: Find the prime factorization of 6404

6404 = 2 x 2 x 1601

Step 2: Find the prime factorization of 6409

6409 = 13 x 17 x 29

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 6404 and 6409 is 1