Greatest Common Factor of 31330 and 31337

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 31330, 31337 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31330 and 31337 is 1.

GCF(31330,31337) = 1

GCF of 31330 and 31337

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

GCF of:
and

Greatest Common Factor of 31330 and 31337

GCF of 31330 and 31337 is 1

Prime Factorization of 31330


2 31330
5 15665
13 3133
241 241
1

Prime factors of 31330 are 2,5,13,241. Prime factorization of 31330 in exponential form is:

31330 = 21×51×131×2411

Prime Factorization of 31337


31337 31337
1

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

31337 = 313371

∴ So by taking common prime factors GCF of 31330 and 31337 is 1

Greatest Common Factor of 31330 and 31337 by matching factors method

Factors of 31330

List of positive integer factors of 31330 that divides 31330 without a remainder.

1,2,5,10,13,26,65,130,241,482,1205,2410,3133,6266,15665,31330

Factors of 31337

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

1,31337

Greatest Common Factor

We found the factors and prime factorization of 31330 and 31337. The biggest common factor number is the GCF number.
So the greatest common factor 31330 and 31337 is 1.

Also check out the Least Common Multiple of 31330 and 31337

Properties of GCF 31330 and 31337

(i) The GCF of 31330 and 31337 is associative

GCF of 31330 and 31337 = GCF of 31337 and 31330

Frequently Asked Questions on GCF of 31330 and 31337

1. What is the GCF of 31330 and 31337?

Answer: GCF of 31330 and 31337 is 1.

2. What are the Factors of 31330?

Answer: Factors of 31330 are 1, 2, 5, 10, 13, 26, 65, 130, 241, 482, 1205, 2410, 3133, 6266, 15665, 31330. There are 16 integers that are factors of 31330. The greatest factor of 31330 is 31330.

3. 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.

4. How to Find the GCF of 31330 and 31337?

Answer:

Greatest Common Factor of 31330 and 31337 = 1

Step 1: Find the prime factorization of 31330

31330 = 2 x 5 x 13 x 241

Step 2: Find the prime factorization of 31337

31337 = 31337

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 31330 and 31337 is 1