Greatest Common Factor of 10305 and 10311

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 10305, 10311 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10305 and 10311 is 3.

GCF(10305,10311) = 3

GCF of 10305 and 10311

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

GCF of:
and

Greatest Common Factor of 10305 and 10311

GCF of 10305 and 10311 is 3

Prime Factorization of 10305


3 10305
3 3435
5 1145
229 229
1

Prime factors of 10305 are 3,5,229. Prime factorization of 10305 in exponential form is:

10305 = 32×51×2291

Prime Factorization of 10311


3 10311
7 3437
491 491
1

Prime factors of 10311 are 3,7,491. Prime factorization of 10311 in exponential form is:

10311 = 31×71×4911

∴ So by taking common prime factors GCF of 10305 and 10311 is 3

Greatest Common Factor of 10305 and 10311 by matching factors method

Factors of 10305

List of positive integer factors of 10305 that divides 10305 without a remainder.

1,3,5,9,15,45,229,687,1145,2061,3435,10305

Factors of 10311

List of positive integer factors of 10311 that divides 10311 without a remainder.

1,3,7,21,491,1473,3437,10311

Greatest Common Factor

We found the factors and prime factorization of 10305 and 10311. The biggest common factor number is the GCF number.
So the greatest common factor 10305 and 10311 is 3.

Also check out the Least Common Multiple of 10305 and 10311

Properties of GCF 10305 and 10311

(i) The GCF of 10305 and 10311 is associative

GCF of 10305 and 10311 = GCF of 10311 and 10305

Related Greatest Common Factor of 10305

Related Greatest Common Factor of 10311

Frequently Asked Questions on GCF of 10305 and 10311

1. What is the GCF of 10305 and 10311?

Answer: GCF of 10305 and 10311 is 3.

2. What are the Factors of 10305?

Answer: Factors of 10305 are 1, 3, 5, 9, 15, 45, 229, 687, 1145, 2061, 3435, 10305. There are 12 integers that are factors of 10305. The greatest factor of 10305 is 10305.

3. What are the Factors of 10311?

Answer: Factors of 10311 are 1, 3, 7, 21, 491, 1473, 3437, 10311. There are 8 integers that are factors of 10311. The greatest factor of 10311 is 10311.

4. How to Find the GCF of 10305 and 10311?

Answer:

Greatest Common Factor of 10305 and 10311 = 3

Step 1: Find the prime factorization of 10305

10305 = 3 x 3 x 5 x 229

Step 2: Find the prime factorization of 10311

10311 = 3 x 7 x 491

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 10305 and 10311 is 3