Greatest Common Factor of 11335 and 11339

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 11335, 11339 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11335 and 11339 is 1.

GCF(11335,11339) = 1

GCF of 11335 and 11339

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

GCF of:
and

Greatest Common Factor of 11335 and 11339

GCF of 11335 and 11339 is 1

Prime Factorization of 11335


5 11335
2267 2267
1

Prime factors of 11335 are 5,2267. Prime factorization of 11335 in exponential form is:

11335 = 51×22671

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

∴ So by taking common prime factors GCF of 11335 and 11339 is 1

Greatest Common Factor of 11335 and 11339 by matching factors method

Factors of 11335

List of positive integer factors of 11335 that divides 11335 without a remainder.

1,5,2267,11335

Factors of 11339

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

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

Greatest Common Factor

We found the factors and prime factorization of 11335 and 11339. The biggest common factor number is the GCF number.
So the greatest common factor 11335 and 11339 is 1.

Also check out the Least Common Multiple of 11335 and 11339

Properties of GCF 11335 and 11339

(i) The GCF of 11335 and 11339 is associative

GCF of 11335 and 11339 = GCF of 11339 and 11335

Frequently Asked Questions on GCF of 11335 and 11339

1. What is the GCF of 11335 and 11339?

Answer: GCF of 11335 and 11339 is 1.

2. What are the Factors of 11335?

Answer: Factors of 11335 are 1, 5, 2267, 11335. There are 4 integers that are factors of 11335. The greatest factor of 11335 is 11335.

3. 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.

4. How to Find the GCF of 11335 and 11339?

Answer:

Greatest Common Factor of 11335 and 11339 = 1

Step 1: Find the prime factorization of 11335

11335 = 5 x 2267

Step 2: Find the prime factorization of 11339

11339 = 17 x 23 x 29

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 11335 and 11339 is 1