Greatest Common Factor of 31335 and 31341

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 31335, 31341 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31335 and 31341 is 3.

GCF(31335,31341) = 3

GCF of 31335 and 31341

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

GCF of:
and

Greatest Common Factor of 31335 and 31341

GCF of 31335 and 31341 is 3

Prime Factorization of 31335


3 31335
5 10445
2089 2089
1

Prime factors of 31335 are 3,5,2089. Prime factorization of 31335 in exponential form is:

31335 = 31×51×20891

Prime Factorization of 31341


3 31341
31 10447
337 337
1

Prime factors of 31341 are 3,31,337. Prime factorization of 31341 in exponential form is:

31341 = 31×311×3371

∴ So by taking common prime factors GCF of 31335 and 31341 is 3

Greatest Common Factor of 31335 and 31341 by matching factors method

Factors of 31335

List of positive integer factors of 31335 that divides 31335 without a remainder.

1,3,5,15,2089,6267,10445,31335

Factors of 31341

List of positive integer factors of 31341 that divides 31341 without a remainder.

1,3,31,93,337,1011,10447,31341

Greatest Common Factor

We found the factors and prime factorization of 31335 and 31341. The biggest common factor number is the GCF number.
So the greatest common factor 31335 and 31341 is 3.

Also check out the Least Common Multiple of 31335 and 31341

Properties of GCF 31335 and 31341

(i) The GCF of 31335 and 31341 is associative

GCF of 31335 and 31341 = GCF of 31341 and 31335

Related Greatest Common Factor of 31335

Related Greatest Common Factor of 31341

Frequently Asked Questions on GCF of 31335 and 31341

1. What is the GCF of 31335 and 31341?

Answer: GCF of 31335 and 31341 is 3.

2. What are the Factors of 31335?

Answer: Factors of 31335 are 1, 3, 5, 15, 2089, 6267, 10445, 31335. There are 8 integers that are factors of 31335. The greatest factor of 31335 is 31335.

3. What are the Factors of 31341?

Answer: Factors of 31341 are 1, 3, 31, 93, 337, 1011, 10447, 31341. There are 8 integers that are factors of 31341. The greatest factor of 31341 is 31341.

4. How to Find the GCF of 31335 and 31341?

Answer:

Greatest Common Factor of 31335 and 31341 = 3

Step 1: Find the prime factorization of 31335

31335 = 3 x 5 x 2089

Step 2: Find the prime factorization of 31341

31341 = 3 x 31 x 337

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 31335 and 31341 is 3