Greatest Common Factor of 31341 and 31345

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, 31345 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31341 and 31345 is 1.

GCF(31341,31345) = 1

GCF of 31341 and 31345

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

GCF of:
and

Greatest Common Factor of 31341 and 31345

GCF of 31341 and 31345 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 31345


5 31345
6269 6269
1

Prime factors of 31345 are 5,6269. Prime factorization of 31345 in exponential form is:

31345 = 51×62691

∴ So by taking common prime factors GCF of 31341 and 31345 is 1

Greatest Common Factor of 31341 and 31345 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 31345

List of positive integer factors of 31345 that divides 31345 without a remainder.

1,5,6269,31345

Greatest Common Factor

We found the factors and prime factorization of 31341 and 31345. The biggest common factor number is the GCF number.
So the greatest common factor 31341 and 31345 is 1.

Also check out the Least Common Multiple of 31341 and 31345

Properties of GCF 31341 and 31345

(i) The GCF of 31341 and 31345 is associative

GCF of 31341 and 31345 = GCF of 31345 and 31341

Related Greatest Common Factor of 31341

Related Greatest Common Factor of 31345

Frequently Asked Questions on GCF of 31341 and 31345

1. What is the GCF of 31341 and 31345?

Answer: GCF of 31341 and 31345 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 31345?

Answer: Factors of 31345 are 1, 5, 6269, 31345. There are 4 integers that are factors of 31345. The greatest factor of 31345 is 31345.

4. How to Find the GCF of 31341 and 31345?

Answer:

Greatest Common Factor of 31341 and 31345 = 1

Step 1: Find the prime factorization of 31341

31341 = 3 x 31 x 337

Step 2: Find the prime factorization of 31345

31345 = 5 x 6269

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 31345 is 1