Greatest Common Factor of 13343 and 13347

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 13343, 13347 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13343 and 13347 is 1.

GCF(13343,13347) = 1

GCF of 13343 and 13347

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

GCF of:
and

Greatest Common Factor of 13343 and 13347

GCF of 13343 and 13347 is 1

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

Prime Factorization of 13347


3 13347
3 4449
1483 1483
1

Prime factors of 13347 are 3,1483. Prime factorization of 13347 in exponential form is:

13347 = 32×14831

∴ So by taking common prime factors GCF of 13343 and 13347 is 1

Greatest Common Factor of 13343 and 13347 by matching factors method

Factors of 13343

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

1,11,1213,13343

Factors of 13347

List of positive integer factors of 13347 that divides 13347 without a remainder.

1,3,9,1483,4449,13347

Greatest Common Factor

We found the factors and prime factorization of 13343 and 13347. The biggest common factor number is the GCF number.
So the greatest common factor 13343 and 13347 is 1.

Also check out the Least Common Multiple of 13343 and 13347

Properties of GCF 13343 and 13347

(i) The GCF of 13343 and 13347 is associative

GCF of 13343 and 13347 = GCF of 13347 and 13343

Related Greatest Common Factor of 13343

Related Greatest Common Factor of 13347

Frequently Asked Questions on GCF of 13343 and 13347

1. What is the GCF of 13343 and 13347?

Answer: GCF of 13343 and 13347 is 1.

2. 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.

3. What are the Factors of 13347?

Answer: Factors of 13347 are 1, 3, 9, 1483, 4449, 13347. There are 6 integers that are factors of 13347. The greatest factor of 13347 is 13347.

4. How to Find the GCF of 13343 and 13347?

Answer:

Greatest Common Factor of 13343 and 13347 = 1

Step 1: Find the prime factorization of 13343

13343 = 11 x 1213

Step 2: Find the prime factorization of 13347

13347 = 3 x 3 x 1483

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 13343 and 13347 is 1