Greatest Common Factor of 3300 and 3302

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, 3302 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3300 and 3302 is 2.

GCF(3300,3302) = 2

GCF of 3300 and 3302

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

GCF of:
and

Greatest Common Factor of 3300 and 3302

GCF of 3300 and 3302 is 2

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 3302


2 3302
13 1651
127 127
1

Prime factors of 3302 are 2,13,127. Prime factorization of 3302 in exponential form is:

3302 = 21×131×1271

∴ So by taking common prime factors GCF of 3300 and 3302 is 2

Greatest Common Factor of 3300 and 3302 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 3302

List of positive integer factors of 3302 that divides 3302 without a remainder.

1,2,13,26,127,254,1651,3302

Greatest Common Factor

We found the factors and prime factorization of 3300 and 3302. The biggest common factor number is the GCF number.
So the greatest common factor 3300 and 3302 is 2.

Also check out the Least Common Multiple of 3300 and 3302

Properties of GCF 3300 and 3302

(i) The GCF of 3300 and 3302 is associative

GCF of 3300 and 3302 = GCF of 3302 and 3300

Related Greatest Common Factor of 3300

Related Greatest Common Factor of 3302

Frequently Asked Questions on GCF of 3300 and 3302

1. What is the GCF of 3300 and 3302?

Answer: GCF of 3300 and 3302 is 2.

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 3302?

Answer: Factors of 3302 are 1, 2, 13, 26, 127, 254, 1651, 3302. There are 8 integers that are factors of 3302. The greatest factor of 3302 is 3302.

4. How to Find the GCF of 3300 and 3302?

Answer:

Greatest Common Factor of 3300 and 3302 = 2

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 3302

3302 = 2 x 13 x 127

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 3300 and 3302 is 2