Greatest Common Factor of 8404 and 8405

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 8404, 8405 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8404 and 8405 is 1.

GCF(8404,8405) = 1

GCF of 8404 and 8405

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

GCF of:
and

Greatest Common Factor of 8404 and 8405

GCF of 8404 and 8405 is 1

Prime Factorization of 8404


2 8404
2 4202
11 2101
191 191
1

Prime factors of 8404 are 2,11,191. Prime factorization of 8404 in exponential form is:

8404 = 22×111×1911

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

∴ So by taking common prime factors GCF of 8404 and 8405 is 1

Greatest Common Factor of 8404 and 8405 by matching factors method

Factors of 8404

List of positive integer factors of 8404 that divides 8404 without a remainder.

1,2,4,11,22,44,191,382,764,2101,4202,8404

Factors of 8405

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

1,5,41,205,1681,8405

Greatest Common Factor

We found the factors and prime factorization of 8404 and 8405. The biggest common factor number is the GCF number.
So the greatest common factor 8404 and 8405 is 1.

Also check out the Least Common Multiple of 8404 and 8405

Properties of GCF 8404 and 8405

(i) The GCF of 8404 and 8405 is associative

GCF of 8404 and 8405 = GCF of 8405 and 8404

Related Greatest Common Factor of 8404

Related Greatest Common Factor of 8405

Frequently Asked Questions on GCF of 8404 and 8405

1. What is the GCF of 8404 and 8405?

Answer: GCF of 8404 and 8405 is 1.

2. What are the Factors of 8404?

Answer: Factors of 8404 are 1, 2, 4, 11, 22, 44, 191, 382, 764, 2101, 4202, 8404. There are 12 integers that are factors of 8404. The greatest factor of 8404 is 8404.

3. 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.

4. How to Find the GCF of 8404 and 8405?

Answer:

Greatest Common Factor of 8404 and 8405 = 1

Step 1: Find the prime factorization of 8404

8404 = 2 x 2 x 11 x 191

Step 2: Find the prime factorization of 8405

8405 = 5 x 41 x 41

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 8404 and 8405 is 1