Greatest Common Factor of 31337 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 31337, 31341 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31337 and 31341 is 1.

GCF(31337,31341) = 1

GCF of 31337 and 31341

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

GCF of:
and

Greatest Common Factor of 31337 and 31341

GCF of 31337 and 31341 is 1

Prime Factorization of 31337


31337 31337
1

Prime factors of 31337 are 31337. Prime factorization of 31337 in exponential form is:

31337 = 313371

Prime Factorization of 31341


3 31341
31 10447
337 337
1

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

31341 = 31×311×3371

∴ So by taking common prime factors GCF of 31337 and 31341 is 1

Greatest Common Factor of 31337 and 31341 by matching factors method

Factors of 31337

List of positive integer factors of 31337 that divides 31337 without a remainder.

1,31337

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 31337 and 31341. The biggest common factor number is the GCF number.
So the greatest common factor 31337 and 31341 is 1.

Also check out the Least Common Multiple of 31337 and 31341

Properties of GCF 31337 and 31341

(i) The GCF of 31337 and 31341 is associative

GCF of 31337 and 31341 = GCF of 31341 and 31337

Frequently Asked Questions on GCF of 31337 and 31341

1. What is the GCF of 31337 and 31341?

Answer: GCF of 31337 and 31341 is 1.

2. What are the Factors of 31337?

Answer: Factors of 31337 are 1, 31337. There are 2 integers that are factors of 31337. The greatest factor of 31337 is 31337.

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 31337 and 31341?

Answer:

Greatest Common Factor of 31337 and 31341 = 1

Step 1: Find the prime factorization of 31337

31337 = 31337

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 = = 1

Step 4: Therefore, the greatest common factor of 31337 and 31341 is 1