Greatest Common Factor of 6923 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 6923, 6930 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6923 and 6930 is 7.

GCF(6923,6930) = 7

GCF of 6923 and 6930

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

GCF of:
and

Greatest Common Factor of 6923 and 6930

GCF of 6923 and 6930 is 7

Prime Factorization of 6923


7 6923
23 989
43 43
1

Prime factors of 6923 are 7,23,43. Prime factorization of 6923 in exponential form is:

6923 = 71×231×431

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 6923 and 6930 is 7

Greatest Common Factor of 6923 and 6930 by matching factors method

Factors of 6923

List of positive integer factors of 6923 that divides 6923 without a remainder.

1,7,23,43,161,301,989,6923

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 6923 and 6930. The biggest common factor number is the GCF number.
So the greatest common factor 6923 and 6930 is 7.

Also check out the Least Common Multiple of 6923 and 6930

Properties of GCF 6923 and 6930

(i) The GCF of 6923 and 6930 is associative

GCF of 6923 and 6930 = GCF of 6930 and 6923

Related Greatest Common Factor of 6923

Related Greatest Common Factor of 6930

Frequently Asked Questions on GCF of 6923 and 6930

1. What is the GCF of 6923 and 6930?

Answer: GCF of 6923 and 6930 is 7.

2. What are the Factors of 6923?

Answer: Factors of 6923 are 1, 7, 23, 43, 161, 301, 989, 6923. There are 8 integers that are factors of 6923. The greatest factor of 6923 is 6923.

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 6923 and 6930?

Answer:

Greatest Common Factor of 6923 and 6930 = 7

Step 1: Find the prime factorization of 6923

6923 = 7 x 23 x 43

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 = 7

Step 4: Therefore, the greatest common factor of 6923 and 6930 is 7