Greatest Common Factor of 8405 and 8410

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, 8410 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8405 and 8410 is 5.

GCF(8405,8410) = 5

GCF of 8405 and 8410

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

GCF of:
and

Greatest Common Factor of 8405 and 8410

GCF of 8405 and 8410 is 5

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 8410


2 8410
5 4205
29 841
29 29
1

Prime factors of 8410 are 2,5,29. Prime factorization of 8410 in exponential form is:

8410 = 21×51×292

∴ So by taking common prime factors GCF of 8405 and 8410 is 5

Greatest Common Factor of 8405 and 8410 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 8410

List of positive integer factors of 8410 that divides 8410 without a remainder.

1,2,5,10,29,58,145,290,841,1682,4205,8410

Greatest Common Factor

We found the factors and prime factorization of 8405 and 8410. The biggest common factor number is the GCF number.
So the greatest common factor 8405 and 8410 is 5.

Also check out the Least Common Multiple of 8405 and 8410

Properties of GCF 8405 and 8410

(i) The GCF of 8405 and 8410 is associative

GCF of 8405 and 8410 = GCF of 8410 and 8405

Related Greatest Common Factor of 8405

Related Greatest Common Factor of 8410

Frequently Asked Questions on GCF of 8405 and 8410

1. What is the GCF of 8405 and 8410?

Answer: GCF of 8405 and 8410 is 5.

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 8410?

Answer: Factors of 8410 are 1, 2, 5, 10, 29, 58, 145, 290, 841, 1682, 4205, 8410. There are 12 integers that are factors of 8410. The greatest factor of 8410 is 8410.

4. How to Find the GCF of 8405 and 8410?

Answer:

Greatest Common Factor of 8405 and 8410 = 5

Step 1: Find the prime factorization of 8405

8405 = 5 x 41 x 41

Step 2: Find the prime factorization of 8410

8410 = 2 x 5 x 29 x 29

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

GCF = 5

Step 4: Therefore, the greatest common factor of 8405 and 8410 is 5