Greatest Common Factor of 2405 and 2410

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 2405, 2410 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2405 and 2410 is 5.

GCF(2405,2410) = 5

GCF of 2405 and 2410

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

GCF of:
and

Greatest Common Factor of 2405 and 2410

GCF of 2405 and 2410 is 5

Prime Factorization of 2405


5 2405
13 481
37 37
1

Prime factors of 2405 are 5,13,37. Prime factorization of 2405 in exponential form is:

2405 = 51×131×371

Prime Factorization of 2410


2 2410
5 1205
241 241
1

Prime factors of 2410 are 2,5,241. Prime factorization of 2410 in exponential form is:

2410 = 21×51×2411

∴ So by taking common prime factors GCF of 2405 and 2410 is 5

Greatest Common Factor of 2405 and 2410 by matching factors method

Factors of 2405

List of positive integer factors of 2405 that divides 2405 without a remainder.

1,5,13,37,65,185,481,2405

Factors of 2410

List of positive integer factors of 2410 that divides 2410 without a remainder.

1,2,5,10,241,482,1205,2410

Greatest Common Factor

We found the factors and prime factorization of 2405 and 2410. The biggest common factor number is the GCF number.
So the greatest common factor 2405 and 2410 is 5.

Also check out the Least Common Multiple of 2405 and 2410

Properties of GCF 2405 and 2410

(i) The GCF of 2405 and 2410 is associative

GCF of 2405 and 2410 = GCF of 2410 and 2405

Related Greatest Common Factor of 2405

Related Greatest Common Factor of 2410

Frequently Asked Questions on GCF of 2405 and 2410

1. What is the GCF of 2405 and 2410?

Answer: GCF of 2405 and 2410 is 5.

2. What are the Factors of 2405?

Answer: Factors of 2405 are 1, 5, 13, 37, 65, 185, 481, 2405. There are 8 integers that are factors of 2405. The greatest factor of 2405 is 2405.

3. What are the Factors of 2410?

Answer: Factors of 2410 are 1, 2, 5, 10, 241, 482, 1205, 2410. There are 8 integers that are factors of 2410. The greatest factor of 2410 is 2410.

4. How to Find the GCF of 2405 and 2410?

Answer:

Greatest Common Factor of 2405 and 2410 = 5

Step 1: Find the prime factorization of 2405

2405 = 5 x 13 x 37

Step 2: Find the prime factorization of 2410

2410 = 2 x 5 x 241

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 2405 and 2410 is 5