Greatest Common Factor of 6600 and 6608

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, 6608 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6600 and 6608 is 8.

GCF(6600,6608) = 8

GCF of 6600 and 6608

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

GCF of:
and

Greatest Common Factor of 6600 and 6608

GCF of 6600 and 6608 is 8

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 6608


2 6608
2 3304
2 1652
2 826
7 413
59 59
1

Prime factors of 6608 are 2,7,59. Prime factorization of 6608 in exponential form is:

6608 = 24×71×591

∴ So by taking common prime factors GCF of 6600 and 6608 is 8

Greatest Common Factor of 6600 and 6608 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 6608

List of positive integer factors of 6608 that divides 6608 without a remainder.

1,2,4,7,8,14,16,28,56,59,112,118,236,413,472,826,944,1652,3304,6608

Greatest Common Factor

We found the factors and prime factorization of 6600 and 6608. The biggest common factor number is the GCF number.
So the greatest common factor 6600 and 6608 is 8.

Also check out the Least Common Multiple of 6600 and 6608

Properties of GCF 6600 and 6608

(i) The GCF of 6600 and 6608 is associative

GCF of 6600 and 6608 = GCF of 6608 and 6600

Related Greatest Common Factor of 6600

Related Greatest Common Factor of 6608

Frequently Asked Questions on GCF of 6600 and 6608

1. What is the GCF of 6600 and 6608?

Answer: GCF of 6600 and 6608 is 8.

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 6608?

Answer: Factors of 6608 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 59, 112, 118, 236, 413, 472, 826, 944, 1652, 3304, 6608. There are 20 integers that are factors of 6608. The greatest factor of 6608 is 6608.

4. How to Find the GCF of 6600 and 6608?

Answer:

Greatest Common Factor of 6600 and 6608 = 8

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 6608

6608 = 2 x 2 x 2 x 2 x 7 x 59

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 6600 and 6608 is 8