Greatest Common Factor of 11404 and 11412

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, 11412 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11404 and 11412 is 4.

GCF(11404,11412) = 4

GCF of 11404 and 11412

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

GCF of:
and

Greatest Common Factor of 11404 and 11412

GCF of 11404 and 11412 is 4

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 11412


2 11412
2 5706
3 2853
3 951
317 317
1

Prime factors of 11412 are 2,3,317. Prime factorization of 11412 in exponential form is:

11412 = 22×32×3171

∴ So by taking common prime factors GCF of 11404 and 11412 is 4

Greatest Common Factor of 11404 and 11412 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 11412

List of positive integer factors of 11412 that divides 11412 without a remainder.

1,2,3,4,6,9,12,18,36,317,634,951,1268,1902,2853,3804,5706,11412

Greatest Common Factor

We found the factors and prime factorization of 11404 and 11412. The biggest common factor number is the GCF number.
So the greatest common factor 11404 and 11412 is 4.

Also check out the Least Common Multiple of 11404 and 11412

Properties of GCF 11404 and 11412

(i) The GCF of 11404 and 11412 is associative

GCF of 11404 and 11412 = GCF of 11412 and 11404

Related Greatest Common Factor of 11404

Related Greatest Common Factor of 11412

Frequently Asked Questions on GCF of 11404 and 11412

1. What is the GCF of 11404 and 11412?

Answer: GCF of 11404 and 11412 is 4.

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 11412?

Answer: Factors of 11412 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 317, 634, 951, 1268, 1902, 2853, 3804, 5706, 11412. There are 18 integers that are factors of 11412. The greatest factor of 11412 is 11412.

4. How to Find the GCF of 11404 and 11412?

Answer:

Greatest Common Factor of 11404 and 11412 = 4

Step 1: Find the prime factorization of 11404

11404 = 2 x 2 x 2851

Step 2: Find the prime factorization of 11412

11412 = 2 x 2 x 3 x 3 x 317

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 11404 and 11412 is 4