Greatest Common Factor of 13341 and 13343

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 13341, 13343 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13341 and 13343 is 1.

GCF(13341,13343) = 1

GCF of 13341 and 13343

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

GCF of:
and

Greatest Common Factor of 13341 and 13343

GCF of 13341 and 13343 is 1

Prime Factorization of 13341


3 13341
4447 4447
1

Prime factors of 13341 are 3,4447. Prime factorization of 13341 in exponential form is:

13341 = 31×44471

Prime Factorization of 13343


11 13343
1213 1213
1

Prime factors of 13343 are 11,1213. Prime factorization of 13343 in exponential form is:

13343 = 111×12131

∴ So by taking common prime factors GCF of 13341 and 13343 is 1

Greatest Common Factor of 13341 and 13343 by matching factors method

Factors of 13341

List of positive integer factors of 13341 that divides 13341 without a remainder.

1,3,4447,13341

Factors of 13343

List of positive integer factors of 13343 that divides 13343 without a remainder.

1,11,1213,13343

Greatest Common Factor

We found the factors and prime factorization of 13341 and 13343. The biggest common factor number is the GCF number.
So the greatest common factor 13341 and 13343 is 1.

Also check out the Least Common Multiple of 13341 and 13343

Properties of GCF 13341 and 13343

(i) The GCF of 13341 and 13343 is associative

GCF of 13341 and 13343 = GCF of 13343 and 13341

Related Greatest Common Factor of 13341

Related Greatest Common Factor of 13343

Frequently Asked Questions on GCF of 13341 and 13343

1. What is the GCF of 13341 and 13343?

Answer: GCF of 13341 and 13343 is 1.

2. What are the Factors of 13341?

Answer: Factors of 13341 are 1, 3, 4447, 13341. There are 4 integers that are factors of 13341. The greatest factor of 13341 is 13341.

3. What are the Factors of 13343?

Answer: Factors of 13343 are 1, 11, 1213, 13343. There are 4 integers that are factors of 13343. The greatest factor of 13343 is 13343.

4. How to Find the GCF of 13341 and 13343?

Answer:

Greatest Common Factor of 13341 and 13343 = 1

Step 1: Find the prime factorization of 13341

13341 = 3 x 4447

Step 2: Find the prime factorization of 13343

13343 = 11 x 1213

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 13341 and 13343 is 1