Greatest Common Factor of 10311 and 10318

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 10311, 10318 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10311 and 10318 is 7.

GCF(10311,10318) = 7

GCF of 10311 and 10318

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

GCF of:
and

Greatest Common Factor of 10311 and 10318

GCF of 10311 and 10318 is 7

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

Prime Factorization of 10318


2 10318
7 5159
11 737
67 67
1

Prime factors of 10318 are 2,7,11,67. Prime factorization of 10318 in exponential form is:

10318 = 21×71×111×671

∴ So by taking common prime factors GCF of 10311 and 10318 is 7

Greatest Common Factor of 10311 and 10318 by matching factors method

Factors of 10311

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

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

Factors of 10318

List of positive integer factors of 10318 that divides 10318 without a remainder.

1,2,7,11,14,22,67,77,134,154,469,737,938,1474,5159,10318

Greatest Common Factor

We found the factors and prime factorization of 10311 and 10318. The biggest common factor number is the GCF number.
So the greatest common factor 10311 and 10318 is 7.

Also check out the Least Common Multiple of 10311 and 10318

Properties of GCF 10311 and 10318

(i) The GCF of 10311 and 10318 is associative

GCF of 10311 and 10318 = GCF of 10318 and 10311

Related Greatest Common Factor of 10311

Related Greatest Common Factor of 10318

Frequently Asked Questions on GCF of 10311 and 10318

1. What is the GCF of 10311 and 10318?

Answer: GCF of 10311 and 10318 is 7.

2. 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.

3. What are the Factors of 10318?

Answer: Factors of 10318 are 1, 2, 7, 11, 14, 22, 67, 77, 134, 154, 469, 737, 938, 1474, 5159, 10318. There are 16 integers that are factors of 10318. The greatest factor of 10318 is 10318.

4. How to Find the GCF of 10311 and 10318?

Answer:

Greatest Common Factor of 10311 and 10318 = 7

Step 1: Find the prime factorization of 10311

10311 = 3 x 7 x 491

Step 2: Find the prime factorization of 10318

10318 = 2 x 7 x 11 x 67

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

GCF = 7

Step 4: Therefore, the greatest common factor of 10311 and 10318 is 7