Greatest Common Factor of 13383 and 13390

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, 13390 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13383 and 13390 is 1.

GCF(13383,13390) = 1

GCF of 13383 and 13390

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

GCF of:
and

Greatest Common Factor of 13383 and 13390

GCF of 13383 and 13390 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 13390


2 13390
5 6695
13 1339
103 103
1

Prime factors of 13390 are 2,5,13,103. Prime factorization of 13390 in exponential form is:

13390 = 21×51×131×1031

∴ So by taking common prime factors GCF of 13383 and 13390 is 1

Greatest Common Factor of 13383 and 13390 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 13390

List of positive integer factors of 13390 that divides 13390 without a remainder.

1,2,5,10,13,26,65,103,130,206,515,1030,1339,2678,6695,13390

Greatest Common Factor

We found the factors and prime factorization of 13383 and 13390. The biggest common factor number is the GCF number.
So the greatest common factor 13383 and 13390 is 1.

Also check out the Least Common Multiple of 13383 and 13390

Properties of GCF 13383 and 13390

(i) The GCF of 13383 and 13390 is associative

GCF of 13383 and 13390 = GCF of 13390 and 13383

Related Greatest Common Factor of 13383

Related Greatest Common Factor of 13390

Frequently Asked Questions on GCF of 13383 and 13390

1. What is the GCF of 13383 and 13390?

Answer: GCF of 13383 and 13390 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 13390?

Answer: Factors of 13390 are 1, 2, 5, 10, 13, 26, 65, 103, 130, 206, 515, 1030, 1339, 2678, 6695, 13390. There are 16 integers that are factors of 13390. The greatest factor of 13390 is 13390.

4. How to Find the GCF of 13383 and 13390?

Answer:

Greatest Common Factor of 13383 and 13390 = 1

Step 1: Find the prime factorization of 13383

13383 = 3 x 3 x 1487

Step 2: Find the prime factorization of 13390

13390 = 2 x 5 x 13 x 103

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 13390 is 1