Greatest Common Factor of 31308 and 31311

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 31308, 31311 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31308 and 31311 is 3.

GCF(31308,31311) = 3

GCF of 31308 and 31311

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

GCF of:
and

Greatest Common Factor of 31308 and 31311

GCF of 31308 and 31311 is 3

Prime Factorization of 31308


2 31308
2 15654
3 7827
2609 2609
1

Prime factors of 31308 are 2,3,2609. Prime factorization of 31308 in exponential form is:

31308 = 22×31×26091

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

∴ So by taking common prime factors GCF of 31308 and 31311 is 3

Greatest Common Factor of 31308 and 31311 by matching factors method

Factors of 31308

List of positive integer factors of 31308 that divides 31308 without a remainder.

1,2,3,4,6,12,2609,5218,7827,10436,15654,31308

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

Greatest Common Factor

We found the factors and prime factorization of 31308 and 31311. The biggest common factor number is the GCF number.
So the greatest common factor 31308 and 31311 is 3.

Also check out the Least Common Multiple of 31308 and 31311

Properties of GCF 31308 and 31311

(i) The GCF of 31308 and 31311 is associative

GCF of 31308 and 31311 = GCF of 31311 and 31308

Related Greatest Common Factor of 31308

Related Greatest Common Factor of 31311

Frequently Asked Questions on GCF of 31308 and 31311

1. What is the GCF of 31308 and 31311?

Answer: GCF of 31308 and 31311 is 3.

2. What are the Factors of 31308?

Answer: Factors of 31308 are 1, 2, 3, 4, 6, 12, 2609, 5218, 7827, 10436, 15654, 31308. There are 12 integers that are factors of 31308. The greatest factor of 31308 is 31308.

3. 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.

4. How to Find the GCF of 31308 and 31311?

Answer:

Greatest Common Factor of 31308 and 31311 = 3

Step 1: Find the prime factorization of 31308

31308 = 2 x 2 x 3 x 2609

Step 2: Find the prime factorization of 31311

31311 = 3 x 3 x 7 x 7 x 71

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 31308 and 31311 is 3