Greatest Common Factor of 31311 and 31317

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, 31317 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31311 and 31317 is 3.

GCF(31311,31317) = 3

GCF of 31311 and 31317

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

GCF of:
and

Greatest Common Factor of 31311 and 31317

GCF of 31311 and 31317 is 3

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 31317


3 31317
11 10439
13 949
73 73
1

Prime factors of 31317 are 3,11,13,73. Prime factorization of 31317 in exponential form is:

31317 = 31×111×131×731

∴ So by taking common prime factors GCF of 31311 and 31317 is 3

Greatest Common Factor of 31311 and 31317 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 31317

List of positive integer factors of 31317 that divides 31317 without a remainder.

1,3,11,13,33,39,73,143,219,429,803,949,2409,2847,10439,31317

Greatest Common Factor

We found the factors and prime factorization of 31311 and 31317. The biggest common factor number is the GCF number.
So the greatest common factor 31311 and 31317 is 3.

Also check out the Least Common Multiple of 31311 and 31317

Properties of GCF 31311 and 31317

(i) The GCF of 31311 and 31317 is associative

GCF of 31311 and 31317 = GCF of 31317 and 31311

Related Greatest Common Factor of 31311

Related Greatest Common Factor of 31317

Frequently Asked Questions on GCF of 31311 and 31317

1. What is the GCF of 31311 and 31317?

Answer: GCF of 31311 and 31317 is 3.

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 31317?

Answer: Factors of 31317 are 1, 3, 11, 13, 33, 39, 73, 143, 219, 429, 803, 949, 2409, 2847, 10439, 31317. There are 16 integers that are factors of 31317. The greatest factor of 31317 is 31317.

4. How to Find the GCF of 31311 and 31317?

Answer:

Greatest Common Factor of 31311 and 31317 = 3

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 31317

31317 = 3 x 11 x 13 x 73

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 31311 and 31317 is 3