Greatest Common Factor of 31311 and 31318

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 31311, 31318 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31311 and 31318 is 7.

GCF(31311,31318) = 7

GCF of 31311 and 31318

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

GCF of:
and

Greatest Common Factor of 31311 and 31318

GCF of 31311 and 31318 is 7

Prime Factorization of 31311


3 31311
3 10437
7 3479
7 497
71 71
1

Prime factors of 31311 are 3,7,71. Prime factorization of 31311 in exponential form is:

31311 = 32×72×711

Prime Factorization of 31318


2 31318
7 15659
2237 2237
1

Prime factors of 31318 are 2,7,2237. Prime factorization of 31318 in exponential form is:

31318 = 21×71×22371

∴ So by taking common prime factors GCF of 31311 and 31318 is 7

Greatest Common Factor of 31311 and 31318 by matching factors method

Factors of 31311

List of positive integer factors of 31311 that divides 31311 without a remainder.

1,3,7,9,21,49,63,71,147,213,441,497,639,1491,3479,4473,10437,31311

Factors of 31318

List of positive integer factors of 31318 that divides 31318 without a remainder.

1,2,7,14,2237,4474,15659,31318

Greatest Common Factor

We found the factors and prime factorization of 31311 and 31318. The biggest common factor number is the GCF number.
So the greatest common factor 31311 and 31318 is 7.

Also check out the Least Common Multiple of 31311 and 31318

Properties of GCF 31311 and 31318

(i) The GCF of 31311 and 31318 is associative

GCF of 31311 and 31318 = GCF of 31318 and 31311

Related Greatest Common Factor of 31311

Related Greatest Common Factor of 31318

Frequently Asked Questions on GCF of 31311 and 31318

1. What is the GCF of 31311 and 31318?

Answer: GCF of 31311 and 31318 is 7.

2. What are the Factors of 31311?

Answer: Factors of 31311 are 1, 3, 7, 9, 21, 49, 63, 71, 147, 213, 441, 497, 639, 1491, 3479, 4473, 10437, 31311. There are 18 integers that are factors of 31311. The greatest factor of 31311 is 31311.

3. What are the Factors of 31318?

Answer: Factors of 31318 are 1, 2, 7, 14, 2237, 4474, 15659, 31318. There are 8 integers that are factors of 31318. The greatest factor of 31318 is 31318.

4. How to Find the GCF of 31311 and 31318?

Answer:

Greatest Common Factor of 31311 and 31318 = 7

Step 1: Find the prime factorization of 31311

31311 = 3 x 3 x 7 x 7 x 71

Step 2: Find the prime factorization of 31318

31318 = 2 x 7 x 2237

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 31311 and 31318 is 7