Greatest Common Factor of 6900 and 6906

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 6900, 6906 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6900 and 6906 is 6.

GCF(6900,6906) = 6

GCF of 6900 and 6906

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

GCF of:
and

Greatest Common Factor of 6900 and 6906

GCF of 6900 and 6906 is 6

Prime Factorization of 6900


2 6900
2 3450
3 1725
5 575
5 115
23 23
1

Prime factors of 6900 are 2,3,5,23. Prime factorization of 6900 in exponential form is:

6900 = 22×31×52×231

Prime Factorization of 6906


2 6906
3 3453
1151 1151
1

Prime factors of 6906 are 2,3,1151. Prime factorization of 6906 in exponential form is:

6906 = 21×31×11511

∴ So by taking common prime factors GCF of 6900 and 6906 is 6

Greatest Common Factor of 6900 and 6906 by matching factors method

Factors of 6900

List of positive integer factors of 6900 that divides 6900 without a remainder.

1,2,3,4,5,6,10,12,15,20,23,25,30,46,50,60,69,75,92,100,115,138,150,230,276,300,345,460,575,690,1150,1380,1725,2300,3450,6900

Factors of 6906

List of positive integer factors of 6906 that divides 6906 without a remainder.

1,2,3,6,1151,2302,3453,6906

Greatest Common Factor

We found the factors and prime factorization of 6900 and 6906. The biggest common factor number is the GCF number.
So the greatest common factor 6900 and 6906 is 6.

Also check out the Least Common Multiple of 6900 and 6906

Properties of GCF 6900 and 6906

(i) The GCF of 6900 and 6906 is associative

GCF of 6900 and 6906 = GCF of 6906 and 6900

Related Greatest Common Factor of 6900

Related Greatest Common Factor of 6906

Frequently Asked Questions on GCF of 6900 and 6906

1. What is the GCF of 6900 and 6906?

Answer: GCF of 6900 and 6906 is 6.

2. What are the Factors of 6900?

Answer: Factors of 6900 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 25, 30, 46, 50, 60, 69, 75, 92, 100, 115, 138, 150, 230, 276, 300, 345, 460, 575, 690, 1150, 1380, 1725, 2300, 3450, 6900. There are 36 integers that are factors of 6900. The greatest factor of 6900 is 6900.

3. What are the Factors of 6906?

Answer: Factors of 6906 are 1, 2, 3, 6, 1151, 2302, 3453, 6906. There are 8 integers that are factors of 6906. The greatest factor of 6906 is 6906.

4. How to Find the GCF of 6900 and 6906?

Answer:

Greatest Common Factor of 6900 and 6906 = 6

Step 1: Find the prime factorization of 6900

6900 = 2 x 2 x 3 x 5 x 5 x 23

Step 2: Find the prime factorization of 6906

6906 = 2 x 3 x 1151

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 6900 and 6906 is 6