Greatest Common Factor of 12310 and 12318

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 12310, 12318 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12310 and 12318 is 2.

GCF(12310,12318) = 2

GCF of 12310 and 12318

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

GCF of:
and

Greatest Common Factor of 12310 and 12318

GCF of 12310 and 12318 is 2

Prime Factorization of 12310


2 12310
5 6155
1231 1231
1

Prime factors of 12310 are 2,5,1231. Prime factorization of 12310 in exponential form is:

12310 = 21×51×12311

Prime Factorization of 12318


2 12318
3 6159
2053 2053
1

Prime factors of 12318 are 2,3,2053. Prime factorization of 12318 in exponential form is:

12318 = 21×31×20531

∴ So by taking common prime factors GCF of 12310 and 12318 is 2

Greatest Common Factor of 12310 and 12318 by matching factors method

Factors of 12310

List of positive integer factors of 12310 that divides 12310 without a remainder.

1,2,5,10,1231,2462,6155,12310

Factors of 12318

List of positive integer factors of 12318 that divides 12318 without a remainder.

1,2,3,6,2053,4106,6159,12318

Greatest Common Factor

We found the factors and prime factorization of 12310 and 12318. The biggest common factor number is the GCF number.
So the greatest common factor 12310 and 12318 is 2.

Also check out the Least Common Multiple of 12310 and 12318

Properties of GCF 12310 and 12318

(i) The GCF of 12310 and 12318 is associative

GCF of 12310 and 12318 = GCF of 12318 and 12310

Related Greatest Common Factor of 12310

Related Greatest Common Factor of 12318

Frequently Asked Questions on GCF of 12310 and 12318

1. What is the GCF of 12310 and 12318?

Answer: GCF of 12310 and 12318 is 2.

2. What are the Factors of 12310?

Answer: Factors of 12310 are 1, 2, 5, 10, 1231, 2462, 6155, 12310. There are 8 integers that are factors of 12310. The greatest factor of 12310 is 12310.

3. What are the Factors of 12318?

Answer: Factors of 12318 are 1, 2, 3, 6, 2053, 4106, 6159, 12318. There are 8 integers that are factors of 12318. The greatest factor of 12318 is 12318.

4. How to Find the GCF of 12310 and 12318?

Answer:

Greatest Common Factor of 12310 and 12318 = 2

Step 1: Find the prime factorization of 12310

12310 = 2 x 5 x 1231

Step 2: Find the prime factorization of 12318

12318 = 2 x 3 x 2053

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 12310 and 12318 is 2