Greatest Common Factor of 13315 and 13323

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 13315, 13323 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13315 and 13323 is 1.

GCF(13315,13323) = 1

GCF of 13315 and 13323

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

GCF of:
and

Greatest Common Factor of 13315 and 13323

GCF of 13315 and 13323 is 1

Prime Factorization of 13315


5 13315
2663 2663
1

Prime factors of 13315 are 5,2663. Prime factorization of 13315 in exponential form is:

13315 = 51×26631

Prime Factorization of 13323


3 13323
4441 4441
1

Prime factors of 13323 are 3,4441. Prime factorization of 13323 in exponential form is:

13323 = 31×44411

∴ So by taking common prime factors GCF of 13315 and 13323 is 1

Greatest Common Factor of 13315 and 13323 by matching factors method

Factors of 13315

List of positive integer factors of 13315 that divides 13315 without a remainder.

1,5,2663,13315

Factors of 13323

List of positive integer factors of 13323 that divides 13323 without a remainder.

1,3,4441,13323

Greatest Common Factor

We found the factors and prime factorization of 13315 and 13323. The biggest common factor number is the GCF number.
So the greatest common factor 13315 and 13323 is 1.

Also check out the Least Common Multiple of 13315 and 13323

Properties of GCF 13315 and 13323

(i) The GCF of 13315 and 13323 is associative

GCF of 13315 and 13323 = GCF of 13323 and 13315

Frequently Asked Questions on GCF of 13315 and 13323

1. What is the GCF of 13315 and 13323?

Answer: GCF of 13315 and 13323 is 1.

2. What are the Factors of 13315?

Answer: Factors of 13315 are 1, 5, 2663, 13315. There are 4 integers that are factors of 13315. The greatest factor of 13315 is 13315.

3. What are the Factors of 13323?

Answer: Factors of 13323 are 1, 3, 4441, 13323. There are 4 integers that are factors of 13323. The greatest factor of 13323 is 13323.

4. How to Find the GCF of 13315 and 13323?

Answer:

Greatest Common Factor of 13315 and 13323 = 1

Step 1: Find the prime factorization of 13315

13315 = 5 x 2663

Step 2: Find the prime factorization of 13323

13323 = 3 x 4441

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 13315 and 13323 is 1