Greatest Common Factor of 11404 and 11409

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 11404, 11409 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11404 and 11409 is 1.

GCF(11404,11409) = 1

GCF of 11404 and 11409

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

GCF of:
and

Greatest Common Factor of 11404 and 11409

GCF of 11404 and 11409 is 1

Prime Factorization of 11404


2 11404
2 5702
2851 2851
1

Prime factors of 11404 are 2,2851. Prime factorization of 11404 in exponential form is:

11404 = 22×28511

Prime Factorization of 11409


3 11409
3803 3803
1

Prime factors of 11409 are 3,3803. Prime factorization of 11409 in exponential form is:

11409 = 31×38031

∴ So by taking common prime factors GCF of 11404 and 11409 is 1

Greatest Common Factor of 11404 and 11409 by matching factors method

Factors of 11404

List of positive integer factors of 11404 that divides 11404 without a remainder.

1,2,4,2851,5702,11404

Factors of 11409

List of positive integer factors of 11409 that divides 11409 without a remainder.

1,3,3803,11409

Greatest Common Factor

We found the factors and prime factorization of 11404 and 11409. The biggest common factor number is the GCF number.
So the greatest common factor 11404 and 11409 is 1.

Also check out the Least Common Multiple of 11404 and 11409

Properties of GCF 11404 and 11409

(i) The GCF of 11404 and 11409 is associative

GCF of 11404 and 11409 = GCF of 11409 and 11404

Related Greatest Common Factor of 11404

Related Greatest Common Factor of 11409

Frequently Asked Questions on GCF of 11404 and 11409

1. What is the GCF of 11404 and 11409?

Answer: GCF of 11404 and 11409 is 1.

2. What are the Factors of 11404?

Answer: Factors of 11404 are 1, 2, 4, 2851, 5702, 11404. There are 6 integers that are factors of 11404. The greatest factor of 11404 is 11404.

3. What are the Factors of 11409?

Answer: Factors of 11409 are 1, 3, 3803, 11409. There are 4 integers that are factors of 11409. The greatest factor of 11409 is 11409.

4. How to Find the GCF of 11404 and 11409?

Answer:

Greatest Common Factor of 11404 and 11409 = 1

Step 1: Find the prime factorization of 11404

11404 = 2 x 2 x 2851

Step 2: Find the prime factorization of 11409

11409 = 3 x 3803

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 11404 and 11409 is 1