Greatest Common Factor of 2405 and 2413

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, 2413 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2405 and 2413 is 1.

GCF(2405,2413) = 1

GCF of 2405 and 2413

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

GCF of:
and

Greatest Common Factor of 2405 and 2413

GCF of 2405 and 2413 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 2413


19 2413
127 127
1

Prime factors of 2413 are 19,127. Prime factorization of 2413 in exponential form is:

2413 = 191×1271

∴ So by taking common prime factors GCF of 2405 and 2413 is 1

Greatest Common Factor of 2405 and 2413 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 2413

List of positive integer factors of 2413 that divides 2413 without a remainder.

1,19,127,2413

Greatest Common Factor

We found the factors and prime factorization of 2405 and 2413. The biggest common factor number is the GCF number.
So the greatest common factor 2405 and 2413 is 1.

Also check out the Least Common Multiple of 2405 and 2413

Properties of GCF 2405 and 2413

(i) The GCF of 2405 and 2413 is associative

GCF of 2405 and 2413 = GCF of 2413 and 2405

Related Greatest Common Factor of 2405

Related Greatest Common Factor of 2413

Frequently Asked Questions on GCF of 2405 and 2413

1. What is the GCF of 2405 and 2413?

Answer: GCF of 2405 and 2413 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 2413?

Answer: Factors of 2413 are 1, 19, 127, 2413. There are 4 integers that are factors of 2413. The greatest factor of 2413 is 2413.

4. How to Find the GCF of 2405 and 2413?

Answer:

Greatest Common Factor of 2405 and 2413 = 1

Step 1: Find the prime factorization of 2405

2405 = 5 x 13 x 37

Step 2: Find the prime factorization of 2413

2413 = 19 x 127

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 2413 is 1