Greatest Common Factor of 13308 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 13308, 13315 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13308 and 13315 is 1.

GCF(13308,13315) = 1

GCF of 13308 and 13315

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

GCF of:
and

Greatest Common Factor of 13308 and 13315

GCF of 13308 and 13315 is 1

Prime Factorization of 13308


2 13308
2 6654
3 3327
1109 1109
1

Prime factors of 13308 are 2,3,1109. Prime factorization of 13308 in exponential form is:

13308 = 22×31×11091

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 13308 and 13315 is 1

Greatest Common Factor of 13308 and 13315 by matching factors method

Factors of 13308

List of positive integer factors of 13308 that divides 13308 without a remainder.

1,2,3,4,6,12,1109,2218,3327,4436,6654,13308

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 13308 and 13315. The biggest common factor number is the GCF number.
So the greatest common factor 13308 and 13315 is 1.

Also check out the Least Common Multiple of 13308 and 13315

Properties of GCF 13308 and 13315

(i) The GCF of 13308 and 13315 is associative

GCF of 13308 and 13315 = GCF of 13315 and 13308

Related Greatest Common Factor of 13308

Related Greatest Common Factor of 13315

Frequently Asked Questions on GCF of 13308 and 13315

1. What is the GCF of 13308 and 13315?

Answer: GCF of 13308 and 13315 is 1.

2. What are the Factors of 13308?

Answer: Factors of 13308 are 1, 2, 3, 4, 6, 12, 1109, 2218, 3327, 4436, 6654, 13308. There are 12 integers that are factors of 13308. The greatest factor of 13308 is 13308.

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 13308 and 13315?

Answer:

Greatest Common Factor of 13308 and 13315 = 1

Step 1: Find the prime factorization of 13308

13308 = 2 x 2 x 3 x 1109

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 13308 and 13315 is 1