Greatest Common Factor of 3300 and 3306

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 3300, 3306 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3300 and 3306 is 6.

GCF(3300,3306) = 6

GCF of 3300 and 3306

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

GCF of:
and

Greatest Common Factor of 3300 and 3306

GCF of 3300 and 3306 is 6

Prime Factorization of 3300


2 3300
2 1650
3 825
5 275
5 55
11 11
1

Prime factors of 3300 are 2,3,5,11. Prime factorization of 3300 in exponential form is:

3300 = 22×31×52×111

Prime Factorization of 3306


2 3306
3 1653
19 551
29 29
1

Prime factors of 3306 are 2,3,19,29. Prime factorization of 3306 in exponential form is:

3306 = 21×31×191×291

∴ So by taking common prime factors GCF of 3300 and 3306 is 6

Greatest Common Factor of 3300 and 3306 by matching factors method

Factors of 3300

List of positive integer factors of 3300 that divides 3300 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,25,30,33,44,50,55,60,66,75,100,110,132,150,165,220,275,300,330,550,660,825,1100,1650,3300

Factors of 3306

List of positive integer factors of 3306 that divides 3306 without a remainder.

1,2,3,6,19,29,38,57,58,87,114,174,551,1102,1653,3306

Greatest Common Factor

We found the factors and prime factorization of 3300 and 3306. The biggest common factor number is the GCF number.
So the greatest common factor 3300 and 3306 is 6.

Also check out the Least Common Multiple of 3300 and 3306

Properties of GCF 3300 and 3306

(i) The GCF of 3300 and 3306 is associative

GCF of 3300 and 3306 = GCF of 3306 and 3300

Related Greatest Common Factor of 3300

Related Greatest Common Factor of 3306

Frequently Asked Questions on GCF of 3300 and 3306

1. What is the GCF of 3300 and 3306?

Answer: GCF of 3300 and 3306 is 6.

2. What are the Factors of 3300?

Answer: Factors of 3300 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 25, 30, 33, 44, 50, 55, 60, 66, 75, 100, 110, 132, 150, 165, 220, 275, 300, 330, 550, 660, 825, 1100, 1650, 3300. There are 36 integers that are factors of 3300. The greatest factor of 3300 is 3300.

3. What are the Factors of 3306?

Answer: Factors of 3306 are 1, 2, 3, 6, 19, 29, 38, 57, 58, 87, 114, 174, 551, 1102, 1653, 3306. There are 16 integers that are factors of 3306. The greatest factor of 3306 is 3306.

4. How to Find the GCF of 3300 and 3306?

Answer:

Greatest Common Factor of 3300 and 3306 = 6

Step 1: Find the prime factorization of 3300

3300 = 2 x 2 x 3 x 5 x 5 x 11

Step 2: Find the prime factorization of 3306

3306 = 2 x 3 x 19 x 29

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 3300 and 3306 is 6