Greatest Common Factor of 31322 and 31330

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 31322, 31330 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31322 and 31330 is 2.

GCF(31322,31330) = 2

GCF of 31322 and 31330

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

GCF of:
and

Greatest Common Factor of 31322 and 31330

GCF of 31322 and 31330 is 2

Prime Factorization of 31322


2 31322
15661 15661
1

Prime factors of 31322 are 2,15661. Prime factorization of 31322 in exponential form is:

31322 = 21×156611

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

∴ So by taking common prime factors GCF of 31322 and 31330 is 2

Greatest Common Factor of 31322 and 31330 by matching factors method

Factors of 31322

List of positive integer factors of 31322 that divides 31322 without a remainder.

1,2,15661,31322

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

Greatest Common Factor

We found the factors and prime factorization of 31322 and 31330. The biggest common factor number is the GCF number.
So the greatest common factor 31322 and 31330 is 2.

Also check out the Least Common Multiple of 31322 and 31330

Properties of GCF 31322 and 31330

(i) The GCF of 31322 and 31330 is associative

GCF of 31322 and 31330 = GCF of 31330 and 31322

Related Greatest Common Factor of 31322

Related Greatest Common Factor of 31330

Frequently Asked Questions on GCF of 31322 and 31330

1. What is the GCF of 31322 and 31330?

Answer: GCF of 31322 and 31330 is 2.

2. What are the Factors of 31322?

Answer: Factors of 31322 are 1, 2, 15661, 31322. There are 4 integers that are factors of 31322. The greatest factor of 31322 is 31322.

3. 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.

4. How to Find the GCF of 31322 and 31330?

Answer:

Greatest Common Factor of 31322 and 31330 = 2

Step 1: Find the prime factorization of 31322

31322 = 2 x 15661

Step 2: Find the prime factorization of 31330

31330 = 2 x 5 x 13 x 241

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 31322 and 31330 is 2