Greatest Common Factor of 2405 and 2408

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, 2408 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2405 and 2408 is 1.

GCF(2405,2408) = 1

GCF of 2405 and 2408

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

GCF of:
and

Greatest Common Factor of 2405 and 2408

GCF of 2405 and 2408 is 1

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 2408


2 2408
2 1204
2 602
7 301
43 43
1

Prime factors of 2408 are 2,7,43. Prime factorization of 2408 in exponential form is:

2408 = 23×71×431

∴ So by taking common prime factors GCF of 2405 and 2408 is 1

Greatest Common Factor of 2405 and 2408 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 2408

List of positive integer factors of 2408 that divides 2408 without a remainder.

1,2,4,7,8,14,28,43,56,86,172,301,344,602,1204,2408

Greatest Common Factor

We found the factors and prime factorization of 2405 and 2408. The biggest common factor number is the GCF number.
So the greatest common factor 2405 and 2408 is 1.

Also check out the Least Common Multiple of 2405 and 2408

Properties of GCF 2405 and 2408

(i) The GCF of 2405 and 2408 is associative

GCF of 2405 and 2408 = GCF of 2408 and 2405

Related Greatest Common Factor of 2405

Related Greatest Common Factor of 2408

Frequently Asked Questions on GCF of 2405 and 2408

1. What is the GCF of 2405 and 2408?

Answer: GCF of 2405 and 2408 is 1.

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 2408?

Answer: Factors of 2408 are 1, 2, 4, 7, 8, 14, 28, 43, 56, 86, 172, 301, 344, 602, 1204, 2408. There are 16 integers that are factors of 2408. The greatest factor of 2408 is 2408.

4. How to Find the GCF of 2405 and 2408?

Answer:

Greatest Common Factor of 2405 and 2408 = 1

Step 1: Find the prime factorization of 2405

2405 = 5 x 13 x 37

Step 2: Find the prime factorization of 2408

2408 = 2 x 2 x 2 x 7 x 43

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 2405 and 2408 is 1