Greatest Common Factor of 13363 and 13371

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 13363, 13371 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13363 and 13371 is 1.

GCF(13363,13371) = 1

GCF of 13363 and 13371

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

GCF of:
and

Greatest Common Factor of 13363 and 13371

GCF of 13363 and 13371 is 1

Prime Factorization of 13363


7 13363
23 1909
83 83
1

Prime factors of 13363 are 7,23,83. Prime factorization of 13363 in exponential form is:

13363 = 71×231×831

Prime Factorization of 13371


3 13371
4457 4457
1

Prime factors of 13371 are 3,4457. Prime factorization of 13371 in exponential form is:

13371 = 31×44571

∴ So by taking common prime factors GCF of 13363 and 13371 is 1

Greatest Common Factor of 13363 and 13371 by matching factors method

Factors of 13363

List of positive integer factors of 13363 that divides 13363 without a remainder.

1,7,23,83,161,581,1909,13363

Factors of 13371

List of positive integer factors of 13371 that divides 13371 without a remainder.

1,3,4457,13371

Greatest Common Factor

We found the factors and prime factorization of 13363 and 13371. The biggest common factor number is the GCF number.
So the greatest common factor 13363 and 13371 is 1.

Also check out the Least Common Multiple of 13363 and 13371

Properties of GCF 13363 and 13371

(i) The GCF of 13363 and 13371 is associative

GCF of 13363 and 13371 = GCF of 13371 and 13363

Related Greatest Common Factor of 13363

Related Greatest Common Factor of 13371

Frequently Asked Questions on GCF of 13363 and 13371

1. What is the GCF of 13363 and 13371?

Answer: GCF of 13363 and 13371 is 1.

2. What are the Factors of 13363?

Answer: Factors of 13363 are 1, 7, 23, 83, 161, 581, 1909, 13363. There are 8 integers that are factors of 13363. The greatest factor of 13363 is 13363.

3. What are the Factors of 13371?

Answer: Factors of 13371 are 1, 3, 4457, 13371. There are 4 integers that are factors of 13371. The greatest factor of 13371 is 13371.

4. How to Find the GCF of 13363 and 13371?

Answer:

Greatest Common Factor of 13363 and 13371 = 1

Step 1: Find the prime factorization of 13363

13363 = 7 x 23 x 83

Step 2: Find the prime factorization of 13371

13371 = 3 x 4457

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 13363 and 13371 is 1