Greatest Common Factor of 310 and 318

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 310, 318 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 310 and 318 is 2.

GCF(310,318) = 2

GCF of 310 and 318

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

GCF of:
and

Greatest Common Factor of 310 and 318

GCF of 310 and 318 is 2

Prime Factorization of 310


2 310
5 155
31 31
1

Prime factors of 310 are 2,5,31. Prime factorization of 310 in exponential form is:

310 = 21×51×311

Prime Factorization of 318


2 318
3 159
53 53
1

Prime factors of 318 are 2,3,53. Prime factorization of 318 in exponential form is:

318 = 21×31×531

∴ So by taking common prime factors GCF of 310 and 318 is 2

Greatest Common Factor of 310 and 318 by matching factors method

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Greatest Common Factor

We found the factors and prime factorization of 310 and 318. The biggest common factor number is the GCF number.
So the greatest common factor 310 and 318 is 2.

Also check out the Least Common Multiple of 310 and 318

Properties of GCF 310 and 318

(i) The GCF of 310 and 318 is associative

GCF of 310 and 318 = GCF of 318 and 310

Related Greatest Common Factor of 310

Related Greatest Common Factor of 318

Frequently Asked Questions on GCF of 310 and 318

1. What is the GCF of 310 and 318?

Answer: GCF of 310 and 318 is 2.

2. What are the Factors of 310?

Answer: Factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310. There are 8 integers that are factors of 310. The greatest factor of 310 is 310.

3. What are the Factors of 318?

Answer: Factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318. There are 8 integers that are factors of 318. The greatest factor of 318 is 318.

4. How to Find the GCF of 310 and 318?

Answer:

Greatest Common Factor of 310 and 318 = 2

Step 1: Find the prime factorization of 310

310 = 2 x 5 x 31

Step 2: Find the prime factorization of 318

318 = 2 x 3 x 53

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 310 and 318 is 2