Greatest Common Factor of 6330 and 6334

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 6330, 6334 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6330 and 6334 is 2.

GCF(6330,6334) = 2

GCF of 6330 and 6334

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

GCF of:
and

Greatest Common Factor of 6330 and 6334

GCF of 6330 and 6334 is 2

Prime Factorization of 6330


2 6330
3 3165
5 1055
211 211
1

Prime factors of 6330 are 2,3,5,211. Prime factorization of 6330 in exponential form is:

6330 = 21×31×51×2111

Prime Factorization of 6334


2 6334
3167 3167
1

Prime factors of 6334 are 2,3167. Prime factorization of 6334 in exponential form is:

6334 = 21×31671

∴ So by taking common prime factors GCF of 6330 and 6334 is 2

Greatest Common Factor of 6330 and 6334 by matching factors method

Factors of 6330

List of positive integer factors of 6330 that divides 6330 without a remainder.

1,2,3,5,6,10,15,30,211,422,633,1055,1266,2110,3165,6330

Factors of 6334

List of positive integer factors of 6334 that divides 6334 without a remainder.

1,2,3167,6334

Greatest Common Factor

We found the factors and prime factorization of 6330 and 6334. The biggest common factor number is the GCF number.
So the greatest common factor 6330 and 6334 is 2.

Also check out the Least Common Multiple of 6330 and 6334

Properties of GCF 6330 and 6334

(i) The GCF of 6330 and 6334 is associative

GCF of 6330 and 6334 = GCF of 6334 and 6330

Related Greatest Common Factor of 6330

Related Greatest Common Factor of 6334

Frequently Asked Questions on GCF of 6330 and 6334

1. What is the GCF of 6330 and 6334?

Answer: GCF of 6330 and 6334 is 2.

2. What are the Factors of 6330?

Answer: Factors of 6330 are 1, 2, 3, 5, 6, 10, 15, 30, 211, 422, 633, 1055, 1266, 2110, 3165, 6330. There are 16 integers that are factors of 6330. The greatest factor of 6330 is 6330.

3. What are the Factors of 6334?

Answer: Factors of 6334 are 1, 2, 3167, 6334. There are 4 integers that are factors of 6334. The greatest factor of 6334 is 6334.

4. How to Find the GCF of 6330 and 6334?

Answer:

Greatest Common Factor of 6330 and 6334 = 2

Step 1: Find the prime factorization of 6330

6330 = 2 x 3 x 5 x 211

Step 2: Find the prime factorization of 6334

6334 = 2 x 3167

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 6330 and 6334 is 2