Greatest Common Factor of 31341 and 31349

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 31341, 31349 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31341 and 31349 is 1.

GCF(31341,31349) = 1

GCF of 31341 and 31349

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

GCF of:
and

Greatest Common Factor of 31341 and 31349

GCF of 31341 and 31349 is 1

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

Prime Factorization of 31349


23 31349
29 1363
47 47
1

Prime factors of 31349 are 23,29,47. Prime factorization of 31349 in exponential form is:

31349 = 231×291×471

∴ So by taking common prime factors GCF of 31341 and 31349 is 1

Greatest Common Factor of 31341 and 31349 by matching factors method

Factors of 31341

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

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

Factors of 31349

List of positive integer factors of 31349 that divides 31349 without a remainder.

1,23,29,47,667,1081,1363,31349

Greatest Common Factor

We found the factors and prime factorization of 31341 and 31349. The biggest common factor number is the GCF number.
So the greatest common factor 31341 and 31349 is 1.

Also check out the Least Common Multiple of 31341 and 31349

Properties of GCF 31341 and 31349

(i) The GCF of 31341 and 31349 is associative

GCF of 31341 and 31349 = GCF of 31349 and 31341

Related Greatest Common Factor of 31341

Related Greatest Common Factor of 31349

Frequently Asked Questions on GCF of 31341 and 31349

1. What is the GCF of 31341 and 31349?

Answer: GCF of 31341 and 31349 is 1.

2. 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.

3. What are the Factors of 31349?

Answer: Factors of 31349 are 1, 23, 29, 47, 667, 1081, 1363, 31349. There are 8 integers that are factors of 31349. The greatest factor of 31349 is 31349.

4. How to Find the GCF of 31341 and 31349?

Answer:

Greatest Common Factor of 31341 and 31349 = 1

Step 1: Find the prime factorization of 31341

31341 = 3 x 31 x 337

Step 2: Find the prime factorization of 31349

31349 = 23 x 29 x 47

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 31341 and 31349 is 1