Greatest Common Factor of 31311 and 31316

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, 31316 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31311 and 31316 is 1.

GCF(31311,31316) = 1

GCF of 31311 and 31316

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

GCF of:
and

Greatest Common Factor of 31311 and 31316

GCF of 31311 and 31316 is 1

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 31316


2 31316
2 15658
7829 7829
1

Prime factors of 31316 are 2,7829. Prime factorization of 31316 in exponential form is:

31316 = 22×78291

∴ So by taking common prime factors GCF of 31311 and 31316 is 1

Greatest Common Factor of 31311 and 31316 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 31316

List of positive integer factors of 31316 that divides 31316 without a remainder.

1,2,4,7829,15658,31316

Greatest Common Factor

We found the factors and prime factorization of 31311 and 31316. The biggest common factor number is the GCF number.
So the greatest common factor 31311 and 31316 is 1.

Also check out the Least Common Multiple of 31311 and 31316

Properties of GCF 31311 and 31316

(i) The GCF of 31311 and 31316 is associative

GCF of 31311 and 31316 = GCF of 31316 and 31311

Related Greatest Common Factor of 31311

Related Greatest Common Factor of 31316

Frequently Asked Questions on GCF of 31311 and 31316

1. What is the GCF of 31311 and 31316?

Answer: GCF of 31311 and 31316 is 1.

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 31316?

Answer: Factors of 31316 are 1, 2, 4, 7829, 15658, 31316. There are 6 integers that are factors of 31316. The greatest factor of 31316 is 31316.

4. How to Find the GCF of 31311 and 31316?

Answer:

Greatest Common Factor of 31311 and 31316 = 1

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 31316

31316 = 2 x 2 x 7829

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 31311 and 31316 is 1