Greatest Common Factor of 13305 and 13307

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, 13307 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13305 and 13307 is 1.

GCF(13305,13307) = 1

GCF of 13305 and 13307

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

GCF of:
and

Greatest Common Factor of 13305 and 13307

GCF of 13305 and 13307 is 1

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 13307


7 13307
1901 1901
1

Prime factors of 13307 are 7,1901. Prime factorization of 13307 in exponential form is:

13307 = 71×19011

∴ So by taking common prime factors GCF of 13305 and 13307 is 1

Greatest Common Factor of 13305 and 13307 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 13307

List of positive integer factors of 13307 that divides 13307 without a remainder.

1,7,1901,13307

Greatest Common Factor

We found the factors and prime factorization of 13305 and 13307. The biggest common factor number is the GCF number.
So the greatest common factor 13305 and 13307 is 1.

Also check out the Least Common Multiple of 13305 and 13307

Properties of GCF 13305 and 13307

(i) The GCF of 13305 and 13307 is associative

GCF of 13305 and 13307 = GCF of 13307 and 13305

Related Greatest Common Factor of 13305

Related Greatest Common Factor of 13307

Frequently Asked Questions on GCF of 13305 and 13307

1. What is the GCF of 13305 and 13307?

Answer: GCF of 13305 and 13307 is 1.

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 13307?

Answer: Factors of 13307 are 1, 7, 1901, 13307. There are 4 integers that are factors of 13307. The greatest factor of 13307 is 13307.

4. How to Find the GCF of 13305 and 13307?

Answer:

Greatest Common Factor of 13305 and 13307 = 1

Step 1: Find the prime factorization of 13305

13305 = 3 x 5 x 887

Step 2: Find the prime factorization of 13307

13307 = 7 x 1901

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 13305 and 13307 is 1