Greatest Common Factor of 6930 and 6937
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, 6937 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6930 and 6937 is 7.
GCF(6930,6937) = 7
GCF of 6930 and 6937
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 6930 and 6937 by prime factorization method
- Greatest Common Factor of 6930 and 6937 by matching factors method
GCF of 6930 and 6937 is 7
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 6937
| 7 | 6937 |
| 991 | 991 |
| 1 |
Prime factors of 6937 are 7,991. Prime factorization of 6937 in exponential form is:
6937 = 71×9911
∴ So by taking common prime factors GCF of 6930 and 6937 is 7
Greatest Common Factor of 6930 and 6937 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 6937
List of positive integer factors of 6937 that divides 6937 without a remainder.
1,7,991,6937
Greatest Common Factor
We found the factors and prime factorization of 6930 and 6937. The biggest common factor number is the GCF number.
So the greatest common factor 6930 and 6937 is 7.
Also check out the Least Common Multiple of 6930 and 6937
Properties of GCF 6930 and 6937
(i) The GCF of 6930 and 6937 is associative
GCF of 6930 and 6937 = GCF of 6937 and 6930
Related Greatest Common Factor of 6930
Related Greatest Common Factor of 6937
Frequently Asked Questions on GCF of 6930 and 6937
1. What is the GCF of 6930 and 6937?
Answer: GCF of 6930 and 6937 is 7.
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 6937?
Answer: Factors of 6937 are 1, 7, 991, 6937. There are 4 integers that are factors of 6937. The greatest factor of 6937 is 6937.
4. How to Find the GCF of 6930 and 6937?
Answer:
Greatest Common Factor of 6930 and 6937 = 7
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 6937
6937 = 7 x 991
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 6930 and 6937 is 7