Greatest Common Factor of 6600 and 6604

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, 6604 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6600 and 6604 is 4.

GCF(6600,6604) = 4

GCF of 6600 and 6604

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

GCF of:
and

Greatest Common Factor of 6600 and 6604

GCF of 6600 and 6604 is 4

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 6604


2 6604
2 3302
13 1651
127 127
1

Prime factors of 6604 are 2,13,127. Prime factorization of 6604 in exponential form is:

6604 = 22×131×1271

∴ So by taking common prime factors GCF of 6600 and 6604 is 4

Greatest Common Factor of 6600 and 6604 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 6604

List of positive integer factors of 6604 that divides 6604 without a remainder.

1,2,4,13,26,52,127,254,508,1651,3302,6604

Greatest Common Factor

We found the factors and prime factorization of 6600 and 6604. The biggest common factor number is the GCF number.
So the greatest common factor 6600 and 6604 is 4.

Also check out the Least Common Multiple of 6600 and 6604

Properties of GCF 6600 and 6604

(i) The GCF of 6600 and 6604 is associative

GCF of 6600 and 6604 = GCF of 6604 and 6600

Related Greatest Common Factor of 6600

Related Greatest Common Factor of 6604

Frequently Asked Questions on GCF of 6600 and 6604

1. What is the GCF of 6600 and 6604?

Answer: GCF of 6600 and 6604 is 4.

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 6604?

Answer: Factors of 6604 are 1, 2, 4, 13, 26, 52, 127, 254, 508, 1651, 3302, 6604. There are 12 integers that are factors of 6604. The greatest factor of 6604 is 6604.

4. How to Find the GCF of 6600 and 6604?

Answer:

Greatest Common Factor of 6600 and 6604 = 4

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 6604

6604 = 2 x 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 x 2 = 4

Step 4: Therefore, the greatest common factor of 6600 and 6604 is 4