Greatest Common Factor of 13303 and 13310

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 13303, 13310 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13303 and 13310 is 1.

GCF(13303,13310) = 1

GCF of 13303 and 13310

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

GCF of:
and

Greatest Common Factor of 13303 and 13310

GCF of 13303 and 13310 is 1

Prime Factorization of 13303


53 13303
251 251
1

Prime factors of 13303 are 53,251. Prime factorization of 13303 in exponential form is:

13303 = 531×2511

Prime Factorization of 13310


2 13310
5 6655
11 1331
11 121
11 11
1

Prime factors of 13310 are 2,5,11. Prime factorization of 13310 in exponential form is:

13310 = 21×51×113

∴ So by taking common prime factors GCF of 13303 and 13310 is 1

Greatest Common Factor of 13303 and 13310 by matching factors method

Factors of 13303

List of positive integer factors of 13303 that divides 13303 without a remainder.

1,53,251,13303

Factors of 13310

List of positive integer factors of 13310 that divides 13310 without a remainder.

1,2,5,10,11,22,55,110,121,242,605,1210,1331,2662,6655,13310

Greatest Common Factor

We found the factors and prime factorization of 13303 and 13310. The biggest common factor number is the GCF number.
So the greatest common factor 13303 and 13310 is 1.

Also check out the Least Common Multiple of 13303 and 13310

Properties of GCF 13303 and 13310

(i) The GCF of 13303 and 13310 is associative

GCF of 13303 and 13310 = GCF of 13310 and 13303

Related Greatest Common Factor of 13303

Related Greatest Common Factor of 13310

Frequently Asked Questions on GCF of 13303 and 13310

1. What is the GCF of 13303 and 13310?

Answer: GCF of 13303 and 13310 is 1.

2. What are the Factors of 13303?

Answer: Factors of 13303 are 1, 53, 251, 13303. There are 4 integers that are factors of 13303. The greatest factor of 13303 is 13303.

3. What are the Factors of 13310?

Answer: Factors of 13310 are 1, 2, 5, 10, 11, 22, 55, 110, 121, 242, 605, 1210, 1331, 2662, 6655, 13310. There are 16 integers that are factors of 13310. The greatest factor of 13310 is 13310.

4. How to Find the GCF of 13303 and 13310?

Answer:

Greatest Common Factor of 13303 and 13310 = 1

Step 1: Find the prime factorization of 13303

13303 = 53 x 251

Step 2: Find the prime factorization of 13310

13310 = 2 x 5 x 11 x 11 x 11

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 13303 and 13310 is 1