Greatest Common Factor of 13314 and 13315

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 13314, 13315 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13314 and 13315 is 1.

GCF(13314,13315) = 1

GCF of 13314 and 13315

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

GCF of:
and

Greatest Common Factor of 13314 and 13315

GCF of 13314 and 13315 is 1

Prime Factorization of 13314


2 13314
3 6657
7 2219
317 317
1

Prime factors of 13314 are 2,3,7,317. Prime factorization of 13314 in exponential form is:

13314 = 21×31×71×3171

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

∴ So by taking common prime factors GCF of 13314 and 13315 is 1

Greatest Common Factor of 13314 and 13315 by matching factors method

Factors of 13314

List of positive integer factors of 13314 that divides 13314 without a remainder.

1,2,3,6,7,14,21,42,317,634,951,1902,2219,4438,6657,13314

Factors of 13315

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

1,5,2663,13315

Greatest Common Factor

We found the factors and prime factorization of 13314 and 13315. The biggest common factor number is the GCF number.
So the greatest common factor 13314 and 13315 is 1.

Also check out the Least Common Multiple of 13314 and 13315

Properties of GCF 13314 and 13315

(i) The GCF of 13314 and 13315 is associative

GCF of 13314 and 13315 = GCF of 13315 and 13314

Related Greatest Common Factor of 13314

Related Greatest Common Factor of 13315

Frequently Asked Questions on GCF of 13314 and 13315

1. What is the GCF of 13314 and 13315?

Answer: GCF of 13314 and 13315 is 1.

2. What are the Factors of 13314?

Answer: Factors of 13314 are 1, 2, 3, 6, 7, 14, 21, 42, 317, 634, 951, 1902, 2219, 4438, 6657, 13314. There are 16 integers that are factors of 13314. The greatest factor of 13314 is 13314.

3. 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.

4. How to Find the GCF of 13314 and 13315?

Answer:

Greatest Common Factor of 13314 and 13315 = 1

Step 1: Find the prime factorization of 13314

13314 = 2 x 3 x 7 x 317

Step 2: Find the prime factorization of 13315

13315 = 5 x 2663

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 13314 and 13315 is 1