Greatest Common Factor of 12355 and 12363

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 12355, 12363 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12355 and 12363 is 1.

GCF(12355,12363) = 1

GCF of 12355 and 12363

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

GCF of:
and

Greatest Common Factor of 12355 and 12363

GCF of 12355 and 12363 is 1

Prime Factorization of 12355


5 12355
7 2471
353 353
1

Prime factors of 12355 are 5,7,353. Prime factorization of 12355 in exponential form is:

12355 = 51×71×3531

Prime Factorization of 12363


3 12363
13 4121
317 317
1

Prime factors of 12363 are 3,13,317. Prime factorization of 12363 in exponential form is:

12363 = 31×131×3171

∴ So by taking common prime factors GCF of 12355 and 12363 is 1

Greatest Common Factor of 12355 and 12363 by matching factors method

Factors of 12355

List of positive integer factors of 12355 that divides 12355 without a remainder.

1,5,7,35,353,1765,2471,12355

Factors of 12363

List of positive integer factors of 12363 that divides 12363 without a remainder.

1,3,13,39,317,951,4121,12363

Greatest Common Factor

We found the factors and prime factorization of 12355 and 12363. The biggest common factor number is the GCF number.
So the greatest common factor 12355 and 12363 is 1.

Also check out the Least Common Multiple of 12355 and 12363

Properties of GCF 12355 and 12363

(i) The GCF of 12355 and 12363 is associative

GCF of 12355 and 12363 = GCF of 12363 and 12355

Related Greatest Common Factor of 12355

Related Greatest Common Factor of 12363

Frequently Asked Questions on GCF of 12355 and 12363

1. What is the GCF of 12355 and 12363?

Answer: GCF of 12355 and 12363 is 1.

2. What are the Factors of 12355?

Answer: Factors of 12355 are 1, 5, 7, 35, 353, 1765, 2471, 12355. There are 8 integers that are factors of 12355. The greatest factor of 12355 is 12355.

3. What are the Factors of 12363?

Answer: Factors of 12363 are 1, 3, 13, 39, 317, 951, 4121, 12363. There are 8 integers that are factors of 12363. The greatest factor of 12363 is 12363.

4. How to Find the GCF of 12355 and 12363?

Answer:

Greatest Common Factor of 12355 and 12363 = 1

Step 1: Find the prime factorization of 12355

12355 = 5 x 7 x 353

Step 2: Find the prime factorization of 12363

12363 = 3 x 13 x 317

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 12355 and 12363 is 1