Greatest Common Factor of 6600 and 6605

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 6600, 6605 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6600 and 6605 is 5.

GCF(6600,6605) = 5

GCF of 6600 and 6605

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

GCF of:
and

Greatest Common Factor of 6600 and 6605

GCF of 6600 and 6605 is 5

Prime Factorization of 6600


2 6600
2 3300
2 1650
3 825
5 275
5 55
11 11
1

Prime factors of 6600 are 2,3,5,11. Prime factorization of 6600 in exponential form is:

6600 = 23×31×52×111

Prime Factorization of 6605


5 6605
1321 1321
1

Prime factors of 6605 are 5,1321. Prime factorization of 6605 in exponential form is:

6605 = 51×13211

∴ So by taking common prime factors GCF of 6600 and 6605 is 5

Greatest Common Factor of 6600 and 6605 by matching factors method

Factors of 6600

List of positive integer factors of 6600 that divides 6600 without a remainder.

1,2,3,4,5,6,8,10,11,12,15,20,22,24,25,30,33,40,44,50,55,60,66,75,88,100,110,120,132,150,165,200,220,264,275,300,330,440,550,600,660,825,1100,1320,1650,2200,3300,6600

Factors of 6605

List of positive integer factors of 6605 that divides 6605 without a remainder.

1,5,1321,6605

Greatest Common Factor

We found the factors and prime factorization of 6600 and 6605. The biggest common factor number is the GCF number.
So the greatest common factor 6600 and 6605 is 5.

Also check out the Least Common Multiple of 6600 and 6605

Properties of GCF 6600 and 6605

(i) The GCF of 6600 and 6605 is associative

GCF of 6600 and 6605 = GCF of 6605 and 6600

Related Greatest Common Factor of 6600

Related Greatest Common Factor of 6605

Frequently Asked Questions on GCF of 6600 and 6605

1. What is the GCF of 6600 and 6605?

Answer: GCF of 6600 and 6605 is 5.

2. What are the Factors of 6600?

Answer: Factors of 6600 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 25, 30, 33, 40, 44, 50, 55, 60, 66, 75, 88, 100, 110, 120, 132, 150, 165, 200, 220, 264, 275, 300, 330, 440, 550, 600, 660, 825, 1100, 1320, 1650, 2200, 3300, 6600. There are 48 integers that are factors of 6600. The greatest factor of 6600 is 6600.

3. What are the Factors of 6605?

Answer: Factors of 6605 are 1, 5, 1321, 6605. There are 4 integers that are factors of 6605. The greatest factor of 6605 is 6605.

4. How to Find the GCF of 6600 and 6605?

Answer:

Greatest Common Factor of 6600 and 6605 = 5

Step 1: Find the prime factorization of 6600

6600 = 2 x 2 x 2 x 3 x 5 x 5 x 11

Step 2: Find the prime factorization of 6605

6605 = 5 x 1321

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 6600 and 6605 is 5