Greatest Common Factor of 8405 and 8409

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 8405, 8409 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8405 and 8409 is 1.

GCF(8405,8409) = 1

GCF of 8405 and 8409

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

GCF of:
and

Greatest Common Factor of 8405 and 8409

GCF of 8405 and 8409 is 1

Prime Factorization of 8405


5 8405
41 1681
41 41
1

Prime factors of 8405 are 5,41. Prime factorization of 8405 in exponential form is:

8405 = 51×412

Prime Factorization of 8409


3 8409
2803 2803
1

Prime factors of 8409 are 3,2803. Prime factorization of 8409 in exponential form is:

8409 = 31×28031

∴ So by taking common prime factors GCF of 8405 and 8409 is 1

Greatest Common Factor of 8405 and 8409 by matching factors method

Factors of 8405

List of positive integer factors of 8405 that divides 8405 without a remainder.

1,5,41,205,1681,8405

Factors of 8409

List of positive integer factors of 8409 that divides 8409 without a remainder.

1,3,2803,8409

Greatest Common Factor

We found the factors and prime factorization of 8405 and 8409. The biggest common factor number is the GCF number.
So the greatest common factor 8405 and 8409 is 1.

Also check out the Least Common Multiple of 8405 and 8409

Properties of GCF 8405 and 8409

(i) The GCF of 8405 and 8409 is associative

GCF of 8405 and 8409 = GCF of 8409 and 8405

Related Greatest Common Factor of 8405

Related Greatest Common Factor of 8409

Frequently Asked Questions on GCF of 8405 and 8409

1. What is the GCF of 8405 and 8409?

Answer: GCF of 8405 and 8409 is 1.

2. What are the Factors of 8405?

Answer: Factors of 8405 are 1, 5, 41, 205, 1681, 8405. There are 6 integers that are factors of 8405. The greatest factor of 8405 is 8405.

3. What are the Factors of 8409?

Answer: Factors of 8409 are 1, 3, 2803, 8409. There are 4 integers that are factors of 8409. The greatest factor of 8409 is 8409.

4. How to Find the GCF of 8405 and 8409?

Answer:

Greatest Common Factor of 8405 and 8409 = 1

Step 1: Find the prime factorization of 8405

8405 = 5 x 41 x 41

Step 2: Find the prime factorization of 8409

8409 = 3 x 2803

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 8405 and 8409 is 1