Greatest Common Factor of 31317 and 31323

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 31317, 31323 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31317 and 31323 is 3.

GCF(31317,31323) = 3

GCF of 31317 and 31323

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

GCF of:
and

Greatest Common Factor of 31317 and 31323

GCF of 31317 and 31323 is 3

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

Prime Factorization of 31323


3 31323
53 10441
197 197
1

Prime factors of 31323 are 3,53,197. Prime factorization of 31323 in exponential form is:

31323 = 31×531×1971

∴ So by taking common prime factors GCF of 31317 and 31323 is 3

Greatest Common Factor of 31317 and 31323 by matching factors method

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

Factors of 31323

List of positive integer factors of 31323 that divides 31323 without a remainder.

1,3,53,159,197,591,10441,31323

Greatest Common Factor

We found the factors and prime factorization of 31317 and 31323. The biggest common factor number is the GCF number.
So the greatest common factor 31317 and 31323 is 3.

Also check out the Least Common Multiple of 31317 and 31323

Properties of GCF 31317 and 31323

(i) The GCF of 31317 and 31323 is associative

GCF of 31317 and 31323 = GCF of 31323 and 31317

Related Greatest Common Factor of 31317

Related Greatest Common Factor of 31323

Frequently Asked Questions on GCF of 31317 and 31323

1. What is the GCF of 31317 and 31323?

Answer: GCF of 31317 and 31323 is 3.

2. 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.

3. What are the Factors of 31323?

Answer: Factors of 31323 are 1, 3, 53, 159, 197, 591, 10441, 31323. There are 8 integers that are factors of 31323. The greatest factor of 31323 is 31323.

4. How to Find the GCF of 31317 and 31323?

Answer:

Greatest Common Factor of 31317 and 31323 = 3

Step 1: Find the prime factorization of 31317

31317 = 3 x 11 x 13 x 73

Step 2: Find the prime factorization of 31323

31323 = 3 x 53 x 197

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 31317 and 31323 is 3