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 6924, 6930 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6924 and 6930 is 6.
GCF(6924,6930) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6924
2 | 6924 |
2 | 3462 |
3 | 1731 |
577 | 577 |
1 |
Prime factors of 6924 are 2,3,577. Prime factorization of 6924 in exponential form is:
6924 = 22×31×5771
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 6924 and 6930 is 6
Factors of 6924
List of positive integer factors of 6924 that divides 6924 without a remainder.
1,2,3,4,6,12,577,1154,1731,2308,3462,6924
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 6924 and 6930. The biggest common factor number is the GCF number.
So the greatest common factor 6924 and 6930 is 6.
Also check out the Least Common Multiple of 6924 and 6930
(i) The GCF of 6924 and 6930 is associative
GCF of 6924 and 6930 = GCF of 6930 and 6924
1. What is the GCF of 6924 and 6930?
Answer: GCF of 6924 and 6930 is 6.
2. What are the Factors of 6924?
Answer: Factors of 6924 are 1, 2, 3, 4, 6, 12, 577, 1154, 1731, 2308, 3462, 6924. There are 12 integers that are factors of 6924. The greatest factor of 6924 is 6924.
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 6924 and 6930?
Answer:
Greatest Common Factor of 6924 and 6930 = 6
Step 1: Find the prime factorization of 6924
6924 = 2 x 2 x 3 x 577
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 x 3 = 6
Step 4: Therefore, the greatest common factor of 6924 and 6930 is 6