Greatest Common Factor of 3300 and 3305

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, 3305 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3300 and 3305 is 5.

GCF(3300,3305) = 5

GCF of 3300 and 3305

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

GCF of:
and

Greatest Common Factor of 3300 and 3305

GCF of 3300 and 3305 is 5

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 3305


5 3305
661 661
1

Prime factors of 3305 are 5,661. Prime factorization of 3305 in exponential form is:

3305 = 51×6611

∴ So by taking common prime factors GCF of 3300 and 3305 is 5

Greatest Common Factor of 3300 and 3305 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 3305

List of positive integer factors of 3305 that divides 3305 without a remainder.

1,5,661,3305

Greatest Common Factor

We found the factors and prime factorization of 3300 and 3305. The biggest common factor number is the GCF number.
So the greatest common factor 3300 and 3305 is 5.

Also check out the Least Common Multiple of 3300 and 3305

Properties of GCF 3300 and 3305

(i) The GCF of 3300 and 3305 is associative

GCF of 3300 and 3305 = GCF of 3305 and 3300

Related Greatest Common Factor of 3300

Related Greatest Common Factor of 3305

Frequently Asked Questions on GCF of 3300 and 3305

1. What is the GCF of 3300 and 3305?

Answer: GCF of 3300 and 3305 is 5.

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 3305?

Answer: Factors of 3305 are 1, 5, 661, 3305. There are 4 integers that are factors of 3305. The greatest factor of 3305 is 3305.

4. How to Find the GCF of 3300 and 3305?

Answer:

Greatest Common Factor of 3300 and 3305 = 5

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 3305

3305 = 5 x 661

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

GCF = 5

Step 4: Therefore, the greatest common factor of 3300 and 3305 is 5