Greatest Common Factor of 6800 and 6804

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 6800, 6804 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6800 and 6804 is 4.

GCF(6800,6804) = 4

GCF of 6800 and 6804

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

GCF of:
and

Greatest Common Factor of 6800 and 6804

GCF of 6800 and 6804 is 4

Prime Factorization of 6800


2 6800
2 3400
2 1700
2 850
5 425
5 85
17 17
1

Prime factors of 6800 are 2,5,17. Prime factorization of 6800 in exponential form is:

6800 = 24×52×171

Prime Factorization of 6804


2 6804
2 3402
3 1701
3 567
3 189
3 63
3 21
7 7
1

Prime factors of 6804 are 2,3,7. Prime factorization of 6804 in exponential form is:

6804 = 22×35×71

∴ So by taking common prime factors GCF of 6800 and 6804 is 4

Greatest Common Factor of 6800 and 6804 by matching factors method

Factors of 6800

List of positive integer factors of 6800 that divides 6800 without a remainder.

1,2,4,5,8,10,16,17,20,25,34,40,50,68,80,85,100,136,170,200,272,340,400,425,680,850,1360,1700,3400,6800

Factors of 6804

List of positive integer factors of 6804 that divides 6804 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,81,84,108,126,162,189,243,252,324,378,486,567,756,972,1134,1701,2268,3402,6804

Greatest Common Factor

We found the factors and prime factorization of 6800 and 6804. The biggest common factor number is the GCF number.
So the greatest common factor 6800 and 6804 is 4.

Also check out the Least Common Multiple of 6800 and 6804

Properties of GCF 6800 and 6804

(i) The GCF of 6800 and 6804 is associative

GCF of 6800 and 6804 = GCF of 6804 and 6800

Related Greatest Common Factor of 6800

Related Greatest Common Factor of 6804

Frequently Asked Questions on GCF of 6800 and 6804

1. What is the GCF of 6800 and 6804?

Answer: GCF of 6800 and 6804 is 4.

2. What are the Factors of 6800?

Answer: Factors of 6800 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 25, 34, 40, 50, 68, 80, 85, 100, 136, 170, 200, 272, 340, 400, 425, 680, 850, 1360, 1700, 3400, 6800. There are 30 integers that are factors of 6800. The greatest factor of 6800 is 6800.

3. What are the Factors of 6804?

Answer: Factors of 6804 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 243, 252, 324, 378, 486, 567, 756, 972, 1134, 1701, 2268, 3402, 6804. There are 36 integers that are factors of 6804. The greatest factor of 6804 is 6804.

4. How to Find the GCF of 6800 and 6804?

Answer:

Greatest Common Factor of 6800 and 6804 = 4

Step 1: Find the prime factorization of 6800

6800 = 2 x 2 x 2 x 2 x 5 x 5 x 17

Step 2: Find the prime factorization of 6804

6804 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 7

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 6800 and 6804 is 4