Greatest Common Factor of 11339 and 11344

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 11339, 11344 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11339 and 11344 is 1.

GCF(11339,11344) = 1

GCF of 11339 and 11344

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

GCF of:
and

Greatest Common Factor of 11339 and 11344

GCF of 11339 and 11344 is 1

Prime Factorization of 11339


17 11339
23 667
29 29
1

Prime factors of 11339 are 17,23,29. Prime factorization of 11339 in exponential form is:

11339 = 171×231×291

Prime Factorization of 11344


2 11344
2 5672
2 2836
2 1418
709 709
1

Prime factors of 11344 are 2,709. Prime factorization of 11344 in exponential form is:

11344 = 24×7091

∴ So by taking common prime factors GCF of 11339 and 11344 is 1

Greatest Common Factor of 11339 and 11344 by matching factors method

Factors of 11339

List of positive integer factors of 11339 that divides 11339 without a remainder.

1,17,23,29,391,493,667,11339

Factors of 11344

List of positive integer factors of 11344 that divides 11344 without a remainder.

1,2,4,8,16,709,1418,2836,5672,11344

Greatest Common Factor

We found the factors and prime factorization of 11339 and 11344. The biggest common factor number is the GCF number.
So the greatest common factor 11339 and 11344 is 1.

Also check out the Least Common Multiple of 11339 and 11344

Properties of GCF 11339 and 11344

(i) The GCF of 11339 and 11344 is associative

GCF of 11339 and 11344 = GCF of 11344 and 11339

Related Greatest Common Factor of 11339

Related Greatest Common Factor of 11344

Frequently Asked Questions on GCF of 11339 and 11344

1. What is the GCF of 11339 and 11344?

Answer: GCF of 11339 and 11344 is 1.

2. What are the Factors of 11339?

Answer: Factors of 11339 are 1, 17, 23, 29, 391, 493, 667, 11339. There are 8 integers that are factors of 11339. The greatest factor of 11339 is 11339.

3. What are the Factors of 11344?

Answer: Factors of 11344 are 1, 2, 4, 8, 16, 709, 1418, 2836, 5672, 11344. There are 10 integers that are factors of 11344. The greatest factor of 11344 is 11344.

4. How to Find the GCF of 11339 and 11344?

Answer:

Greatest Common Factor of 11339 and 11344 = 1

Step 1: Find the prime factorization of 11339

11339 = 17 x 23 x 29

Step 2: Find the prime factorization of 11344

11344 = 2 x 2 x 2 x 2 x 709

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 11339 and 11344 is 1