Greatest Common Factor of 6926 and 6930

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 6926, 6930 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6926 and 6930 is 2.

GCF(6926,6930) = 2

GCF of 6926 and 6930

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

GCF of:
and

Greatest Common Factor of 6926 and 6930

GCF of 6926 and 6930 is 2

Prime Factorization of 6926


2 6926
3463 3463
1

Prime factors of 6926 are 2,3463. Prime factorization of 6926 in exponential form is:

6926 = 21×34631

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

∴ So by taking common prime factors GCF of 6926 and 6930 is 2

Greatest Common Factor of 6926 and 6930 by matching factors method

Factors of 6926

List of positive integer factors of 6926 that divides 6926 without a remainder.

1,2,3463,6926

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

Greatest Common Factor

We found the factors and prime factorization of 6926 and 6930. The biggest common factor number is the GCF number.
So the greatest common factor 6926 and 6930 is 2.

Also check out the Least Common Multiple of 6926 and 6930

Properties of GCF 6926 and 6930

(i) The GCF of 6926 and 6930 is associative

GCF of 6926 and 6930 = GCF of 6930 and 6926

Related Greatest Common Factor of 6926

Related Greatest Common Factor of 6930

Frequently Asked Questions on GCF of 6926 and 6930

1. What is the GCF of 6926 and 6930?

Answer: GCF of 6926 and 6930 is 2.

2. What are the Factors of 6926?

Answer: Factors of 6926 are 1, 2, 3463, 6926. There are 4 integers that are factors of 6926. The greatest factor of 6926 is 6926.

3. 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.

4. How to Find the GCF of 6926 and 6930?

Answer:

Greatest Common Factor of 6926 and 6930 = 2

Step 1: Find the prime factorization of 6926

6926 = 2 x 3463

Step 2: Find the prime factorization of 6930

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

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

GCF = 2

Step 4: Therefore, the greatest common factor of 6926 and 6930 is 2