Greatest Common Factor of 31314 and 31322

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 31314, 31322 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31314 and 31322 is 2.

GCF(31314,31322) = 2

GCF of 31314 and 31322

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

GCF of:
and

Greatest Common Factor of 31314 and 31322

GCF of 31314 and 31322 is 2

Prime Factorization of 31314


2 31314
3 15657
17 5219
307 307
1

Prime factors of 31314 are 2,3,17,307. Prime factorization of 31314 in exponential form is:

31314 = 21×31×171×3071

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

∴ So by taking common prime factors GCF of 31314 and 31322 is 2

Greatest Common Factor of 31314 and 31322 by matching factors method

Factors of 31314

List of positive integer factors of 31314 that divides 31314 without a remainder.

1,2,3,6,17,34,51,102,307,614,921,1842,5219,10438,15657,31314

Factors of 31322

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

1,2,15661,31322

Greatest Common Factor

We found the factors and prime factorization of 31314 and 31322. The biggest common factor number is the GCF number.
So the greatest common factor 31314 and 31322 is 2.

Also check out the Least Common Multiple of 31314 and 31322

Properties of GCF 31314 and 31322

(i) The GCF of 31314 and 31322 is associative

GCF of 31314 and 31322 = GCF of 31322 and 31314

Related Greatest Common Factor of 31314

Related Greatest Common Factor of 31322

Frequently Asked Questions on GCF of 31314 and 31322

1. What is the GCF of 31314 and 31322?

Answer: GCF of 31314 and 31322 is 2.

2. What are the Factors of 31314?

Answer: Factors of 31314 are 1, 2, 3, 6, 17, 34, 51, 102, 307, 614, 921, 1842, 5219, 10438, 15657, 31314. There are 16 integers that are factors of 31314. The greatest factor of 31314 is 31314.

3. 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.

4. How to Find the GCF of 31314 and 31322?

Answer:

Greatest Common Factor of 31314 and 31322 = 2

Step 1: Find the prime factorization of 31314

31314 = 2 x 3 x 17 x 307

Step 2: Find the prime factorization of 31322

31322 = 2 x 15661

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 31314 and 31322 is 2