Greatest Common Factor of 31310 and 31314

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 31310, 31314 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31310 and 31314 is 2.

GCF(31310,31314) = 2

GCF of 31310 and 31314

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

GCF of:
and

Greatest Common Factor of 31310 and 31314

GCF of 31310 and 31314 is 2

Prime Factorization of 31310


2 31310
5 15655
31 3131
101 101
1

Prime factors of 31310 are 2,5,31,101. Prime factorization of 31310 in exponential form is:

31310 = 21×51×311×1011

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

∴ So by taking common prime factors GCF of 31310 and 31314 is 2

Greatest Common Factor of 31310 and 31314 by matching factors method

Factors of 31310

List of positive integer factors of 31310 that divides 31310 without a remainder.

1,2,5,10,31,62,101,155,202,310,505,1010,3131,6262,15655,31310

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

Greatest Common Factor

We found the factors and prime factorization of 31310 and 31314. The biggest common factor number is the GCF number.
So the greatest common factor 31310 and 31314 is 2.

Also check out the Least Common Multiple of 31310 and 31314

Properties of GCF 31310 and 31314

(i) The GCF of 31310 and 31314 is associative

GCF of 31310 and 31314 = GCF of 31314 and 31310

Related Greatest Common Factor of 31310

Related Greatest Common Factor of 31314

Frequently Asked Questions on GCF of 31310 and 31314

1. What is the GCF of 31310 and 31314?

Answer: GCF of 31310 and 31314 is 2.

2. What are the Factors of 31310?

Answer: Factors of 31310 are 1, 2, 5, 10, 31, 62, 101, 155, 202, 310, 505, 1010, 3131, 6262, 15655, 31310. There are 16 integers that are factors of 31310. The greatest factor of 31310 is 31310.

3. 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.

4. How to Find the GCF of 31310 and 31314?

Answer:

Greatest Common Factor of 31310 and 31314 = 2

Step 1: Find the prime factorization of 31310

31310 = 2 x 5 x 31 x 101

Step 2: Find the prime factorization of 31314

31314 = 2 x 3 x 17 x 307

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 31310 and 31314 is 2