Greatest Common Factor of 6900 and 6908

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, 6908 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6900 and 6908 is 4.

GCF(6900,6908) = 4

GCF of 6900 and 6908

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

GCF of:
and

Greatest Common Factor of 6900 and 6908

GCF of 6900 and 6908 is 4

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 6908


2 6908
2 3454
11 1727
157 157
1

Prime factors of 6908 are 2,11,157. Prime factorization of 6908 in exponential form is:

6908 = 22×111×1571

∴ So by taking common prime factors GCF of 6900 and 6908 is 4

Greatest Common Factor of 6900 and 6908 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 6908

List of positive integer factors of 6908 that divides 6908 without a remainder.

1,2,4,11,22,44,157,314,628,1727,3454,6908

Greatest Common Factor

We found the factors and prime factorization of 6900 and 6908. The biggest common factor number is the GCF number.
So the greatest common factor 6900 and 6908 is 4.

Also check out the Least Common Multiple of 6900 and 6908

Properties of GCF 6900 and 6908

(i) The GCF of 6900 and 6908 is associative

GCF of 6900 and 6908 = GCF of 6908 and 6900

Related Greatest Common Factor of 6900

Related Greatest Common Factor of 6908

Frequently Asked Questions on GCF of 6900 and 6908

1. What is the GCF of 6900 and 6908?

Answer: GCF of 6900 and 6908 is 4.

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 6908?

Answer: Factors of 6908 are 1, 2, 4, 11, 22, 44, 157, 314, 628, 1727, 3454, 6908. There are 12 integers that are factors of 6908. The greatest factor of 6908 is 6908.

4. How to Find the GCF of 6900 and 6908?

Answer:

Greatest Common Factor of 6900 and 6908 = 4

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 6908

6908 = 2 x 2 x 11 x 157

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 6900 and 6908 is 4