Greatest Common Factor of 13383 and 13387

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 13383, 13387 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13383 and 13387 is 1.

GCF(13383,13387) = 1

GCF of 13383 and 13387

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

GCF of:
and

Greatest Common Factor of 13383 and 13387

GCF of 13383 and 13387 is 1

Prime Factorization of 13383


3 13383
3 4461
1487 1487
1

Prime factors of 13383 are 3,1487. Prime factorization of 13383 in exponential form is:

13383 = 32×14871

Prime Factorization of 13387


11 13387
1217 1217
1

Prime factors of 13387 are 11,1217. Prime factorization of 13387 in exponential form is:

13387 = 111×12171

∴ So by taking common prime factors GCF of 13383 and 13387 is 1

Greatest Common Factor of 13383 and 13387 by matching factors method

Factors of 13383

List of positive integer factors of 13383 that divides 13383 without a remainder.

1,3,9,1487,4461,13383

Factors of 13387

List of positive integer factors of 13387 that divides 13387 without a remainder.

1,11,1217,13387

Greatest Common Factor

We found the factors and prime factorization of 13383 and 13387. The biggest common factor number is the GCF number.
So the greatest common factor 13383 and 13387 is 1.

Also check out the Least Common Multiple of 13383 and 13387

Properties of GCF 13383 and 13387

(i) The GCF of 13383 and 13387 is associative

GCF of 13383 and 13387 = GCF of 13387 and 13383

Frequently Asked Questions on GCF of 13383 and 13387

1. What is the GCF of 13383 and 13387?

Answer: GCF of 13383 and 13387 is 1.

2. What are the Factors of 13383?

Answer: Factors of 13383 are 1, 3, 9, 1487, 4461, 13383. There are 6 integers that are factors of 13383. The greatest factor of 13383 is 13383.

3. What are the Factors of 13387?

Answer: Factors of 13387 are 1, 11, 1217, 13387. There are 4 integers that are factors of 13387. The greatest factor of 13387 is 13387.

4. How to Find the GCF of 13383 and 13387?

Answer:

Greatest Common Factor of 13383 and 13387 = 1

Step 1: Find the prime factorization of 13383

13383 = 3 x 3 x 1487

Step 2: Find the prime factorization of 13387

13387 = 11 x 1217

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 13383 and 13387 is 1