Greatest Common Factor of 6930 and 6936

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 6930, 6936 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6930 and 6936 is 6.

GCF(6930,6936) = 6

GCF of 6930 and 6936

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

GCF of:
and

Greatest Common Factor of 6930 and 6936

GCF of 6930 and 6936 is 6

Prime Factorization of 6930


2 6930
3 3465
3 1155
5 385
7 77
11 11
1

Prime factors of 6930 are 2,3,5,7,11. Prime factorization of 6930 in exponential form is:

6930 = 21×32×51×71×111

Prime Factorization of 6936


2 6936
2 3468
2 1734
3 867
17 289
17 17
1

Prime factors of 6936 are 2,3,17. Prime factorization of 6936 in exponential form is:

6936 = 23×31×172

∴ So by taking common prime factors GCF of 6930 and 6936 is 6

Greatest Common Factor of 6930 and 6936 by matching factors method

Factors of 6930

List of positive integer factors of 6930 that divides 6930 without a remainder.

1,2,3,5,6,7,9,10,11,14,15,18,21,22,30,33,35,42,45,55,63,66,70,77,90,99,105,110,126,154,165,198,210,231,315,330,385,462,495,630,693,770,990,1155,1386,2310,3465,6930

Factors of 6936

List of positive integer factors of 6936 that divides 6936 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,289,408,578,867,1156,1734,2312,3468,6936

Greatest Common Factor

We found the factors and prime factorization of 6930 and 6936. The biggest common factor number is the GCF number.
So the greatest common factor 6930 and 6936 is 6.

Also check out the Least Common Multiple of 6930 and 6936

Properties of GCF 6930 and 6936

(i) The GCF of 6930 and 6936 is associative

GCF of 6930 and 6936 = GCF of 6936 and 6930

Related Greatest Common Factor of 6930

Related Greatest Common Factor of 6936

Frequently Asked Questions on GCF of 6930 and 6936

1. What is the GCF of 6930 and 6936?

Answer: GCF of 6930 and 6936 is 6.

2. What are the Factors of 6930?

Answer: Factors of 6930 are 1, 2, 3, 5, 6, 7, 9, 10, 11, 14, 15, 18, 21, 22, 30, 33, 35, 42, 45, 55, 63, 66, 70, 77, 90, 99, 105, 110, 126, 154, 165, 198, 210, 231, 315, 330, 385, 462, 495, 630, 693, 770, 990, 1155, 1386, 2310, 3465, 6930. There are 48 integers that are factors of 6930. The greatest factor of 6930 is 6930.

3. What are the Factors of 6936?

Answer: Factors of 6936 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 289, 408, 578, 867, 1156, 1734, 2312, 3468, 6936. There are 24 integers that are factors of 6936. The greatest factor of 6936 is 6936.

4. How to Find the GCF of 6930 and 6936?

Answer:

Greatest Common Factor of 6930 and 6936 = 6

Step 1: Find the prime factorization of 6930

6930 = 2 x 3 x 3 x 5 x 7 x 11

Step 2: Find the prime factorization of 6936

6936 = 2 x 2 x 2 x 3 x 17 x 17

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 6930 and 6936 is 6