Greatest Common Factor of 13305 and 13308

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 13305, 13308 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13305 and 13308 is 3.

GCF(13305,13308) = 3

GCF of 13305 and 13308

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

GCF of:
and

Greatest Common Factor of 13305 and 13308

GCF of 13305 and 13308 is 3

Prime Factorization of 13305


3 13305
5 4435
887 887
1

Prime factors of 13305 are 3,5,887. Prime factorization of 13305 in exponential form is:

13305 = 31×51×8871

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

∴ So by taking common prime factors GCF of 13305 and 13308 is 3

Greatest Common Factor of 13305 and 13308 by matching factors method

Factors of 13305

List of positive integer factors of 13305 that divides 13305 without a remainder.

1,3,5,15,887,2661,4435,13305

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

Greatest Common Factor

We found the factors and prime factorization of 13305 and 13308. The biggest common factor number is the GCF number.
So the greatest common factor 13305 and 13308 is 3.

Also check out the Least Common Multiple of 13305 and 13308

Properties of GCF 13305 and 13308

(i) The GCF of 13305 and 13308 is associative

GCF of 13305 and 13308 = GCF of 13308 and 13305

Related Greatest Common Factor of 13305

Related Greatest Common Factor of 13308

Frequently Asked Questions on GCF of 13305 and 13308

1. What is the GCF of 13305 and 13308?

Answer: GCF of 13305 and 13308 is 3.

2. What are the Factors of 13305?

Answer: Factors of 13305 are 1, 3, 5, 15, 887, 2661, 4435, 13305. There are 8 integers that are factors of 13305. The greatest factor of 13305 is 13305.

3. 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.

4. How to Find the GCF of 13305 and 13308?

Answer:

Greatest Common Factor of 13305 and 13308 = 3

Step 1: Find the prime factorization of 13305

13305 = 3 x 5 x 887

Step 2: Find the prime factorization of 13308

13308 = 2 x 2 x 3 x 1109

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 13305 and 13308 is 3