Greatest Common Factor of 6894 and 6900

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 6894, 6900 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6894 and 6900 is 6.

GCF(6894,6900) = 6

GCF of 6894 and 6900

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

GCF of:
and

Greatest Common Factor of 6894 and 6900

GCF of 6894 and 6900 is 6

Prime Factorization of 6894


2 6894
3 3447
3 1149
383 383
1

Prime factors of 6894 are 2,3,383. Prime factorization of 6894 in exponential form is:

6894 = 21×32×3831

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

∴ So by taking common prime factors GCF of 6894 and 6900 is 6

Greatest Common Factor of 6894 and 6900 by matching factors method

Factors of 6894

List of positive integer factors of 6894 that divides 6894 without a remainder.

1,2,3,6,9,18,383,766,1149,2298,3447,6894

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

Greatest Common Factor

We found the factors and prime factorization of 6894 and 6900. The biggest common factor number is the GCF number.
So the greatest common factor 6894 and 6900 is 6.

Also check out the Least Common Multiple of 6894 and 6900

Properties of GCF 6894 and 6900

(i) The GCF of 6894 and 6900 is associative

GCF of 6894 and 6900 = GCF of 6900 and 6894

Related Greatest Common Factor of 6894

Related Greatest Common Factor of 6900

Frequently Asked Questions on GCF of 6894 and 6900

1. What is the GCF of 6894 and 6900?

Answer: GCF of 6894 and 6900 is 6.

2. What are the Factors of 6894?

Answer: Factors of 6894 are 1, 2, 3, 6, 9, 18, 383, 766, 1149, 2298, 3447, 6894. There are 12 integers that are factors of 6894. The greatest factor of 6894 is 6894.

3. 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.

4. How to Find the GCF of 6894 and 6900?

Answer:

Greatest Common Factor of 6894 and 6900 = 6

Step 1: Find the prime factorization of 6894

6894 = 2 x 3 x 3 x 383

Step 2: Find the prime factorization of 6900

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

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 6894 and 6900 is 6