Greatest Common Factor of 2401 and 2405

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 2401, 2405 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2401 and 2405 is 1.

GCF(2401,2405) = 1

GCF of 2401 and 2405

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

GCF of:
and

Greatest Common Factor of 2401 and 2405

GCF of 2401 and 2405 is 1

Prime Factorization of 2401


7 2401
7 343
7 49
7 7
1

Prime factors of 2401 are 7. Prime factorization of 2401 in exponential form is:

2401 = 74

Prime Factorization of 2405


5 2405
13 481
37 37
1

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

2405 = 51×131×371

∴ So by taking common prime factors GCF of 2401 and 2405 is 1

Greatest Common Factor of 2401 and 2405 by matching factors method

Factors of 2401

List of positive integer factors of 2401 that divides 2401 without a remainder.

1,7,49,343,2401

Factors of 2405

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

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

Greatest Common Factor

We found the factors and prime factorization of 2401 and 2405. The biggest common factor number is the GCF number.
So the greatest common factor 2401 and 2405 is 1.

Also check out the Least Common Multiple of 2401 and 2405

Properties of GCF 2401 and 2405

(i) The GCF of 2401 and 2405 is associative

GCF of 2401 and 2405 = GCF of 2405 and 2401

Related Greatest Common Factor of 2401

Related Greatest Common Factor of 2405

Frequently Asked Questions on GCF of 2401 and 2405

1. What is the GCF of 2401 and 2405?

Answer: GCF of 2401 and 2405 is 1.

2. What are the Factors of 2401?

Answer: Factors of 2401 are 1, 7, 49, 343, 2401. There are 5 integers that are factors of 2401. The greatest factor of 2401 is 2401.

3. 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.

4. How to Find the GCF of 2401 and 2405?

Answer:

Greatest Common Factor of 2401 and 2405 = 1

Step 1: Find the prime factorization of 2401

2401 = 7 x 7 x 7 x 7

Step 2: Find the prime factorization of 2405

2405 = 5 x 13 x 37

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 2401 and 2405 is 1