Greatest Common Factor of 13307 and 13309

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 13307, 13309 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13307 and 13309 is 1.

GCF(13307,13309) = 1

GCF of 13307 and 13309

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

GCF of:
and

Greatest Common Factor of 13307 and 13309

GCF of 13307 and 13309 is 1

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

Prime Factorization of 13309


13309 13309
1

Prime factors of 13309 are 13309. Prime factorization of 13309 in exponential form is:

13309 = 133091

∴ So by taking common prime factors GCF of 13307 and 13309 is 1

Greatest Common Factor of 13307 and 13309 by matching factors method

Factors of 13307

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

1,7,1901,13307

Factors of 13309

List of positive integer factors of 13309 that divides 13309 without a remainder.

1,13309

Greatest Common Factor

We found the factors and prime factorization of 13307 and 13309. The biggest common factor number is the GCF number.
So the greatest common factor 13307 and 13309 is 1.

Also check out the Least Common Multiple of 13307 and 13309

Properties of GCF 13307 and 13309

(i) The GCF of 13307 and 13309 is associative

GCF of 13307 and 13309 = GCF of 13309 and 13307

Related Greatest Common Factor of 13307

Related Greatest Common Factor of 13309

Frequently Asked Questions on GCF of 13307 and 13309

1. What is the GCF of 13307 and 13309?

Answer: GCF of 13307 and 13309 is 1.

2. 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.

3. What are the Factors of 13309?

Answer: Factors of 13309 are 1, 13309. There are 2 integers that are factors of 13309. The greatest factor of 13309 is 13309.

4. How to Find the GCF of 13307 and 13309?

Answer:

Greatest Common Factor of 13307 and 13309 = 1

Step 1: Find the prime factorization of 13307

13307 = 7 x 1901

Step 2: Find the prime factorization of 13309

13309 = 13309

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 13307 and 13309 is 1