Greatest Common Factor of 330 and 334

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 330, 334 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 330 and 334 is 2.

GCF(330,334) = 2

GCF of 330 and 334

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

GCF of:
and

Greatest Common Factor of 330 and 334

GCF of 330 and 334 is 2

Prime Factorization of 330


2 330
3 165
5 55
11 11
1

Prime factors of 330 are 2,3,5,11. Prime factorization of 330 in exponential form is:

330 = 21×31×51×111

Prime Factorization of 334


2 334
167 167
1

Prime factors of 334 are 2,167. Prime factorization of 334 in exponential form is:

334 = 21×1671

∴ So by taking common prime factors GCF of 330 and 334 is 2

Greatest Common Factor of 330 and 334 by matching factors method

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Greatest Common Factor

We found the factors and prime factorization of 330 and 334. The biggest common factor number is the GCF number.
So the greatest common factor 330 and 334 is 2.

Also check out the Least Common Multiple of 330 and 334

Properties of GCF 330 and 334

(i) The GCF of 330 and 334 is associative

GCF of 330 and 334 = GCF of 334 and 330

Related Greatest Common Factor of 330

Related Greatest Common Factor of 334

Frequently Asked Questions on GCF of 330 and 334

1. What is the GCF of 330 and 334?

Answer: GCF of 330 and 334 is 2.

2. What are the Factors of 330?

Answer: Factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330. There are 16 integers that are factors of 330. The greatest factor of 330 is 330.

3. What are the Factors of 334?

Answer: Factors of 334 are 1, 2, 167, 334. There are 4 integers that are factors of 334. The greatest factor of 334 is 334.

4. How to Find the GCF of 330 and 334?

Answer:

Greatest Common Factor of 330 and 334 = 2

Step 1: Find the prime factorization of 330

330 = 2 x 3 x 5 x 11

Step 2: Find the prime factorization of 334

334 = 2 x 167

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 330 and 334 is 2