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 6993, 7000 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6993 and 7000 is 7.
GCF(6993,7000) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6993
3 | 6993 |
3 | 2331 |
3 | 777 |
7 | 259 |
37 | 37 |
1 |
Prime factors of 6993 are 3,7,37. Prime factorization of 6993 in exponential form is:
6993 = 33×71×371
Prime Factorization of 7000
2 | 7000 |
2 | 3500 |
2 | 1750 |
5 | 875 |
5 | 175 |
5 | 35 |
7 | 7 |
1 |
Prime factors of 7000 are 2,5,7. Prime factorization of 7000 in exponential form is:
7000 = 23×53×71
∴ So by taking common prime factors GCF of 6993 and 7000 is 7
Factors of 6993
List of positive integer factors of 6993 that divides 6993 without a remainder.
1,3,7,9,21,27,37,63,111,189,259,333,777,999,2331,6993
Factors of 7000
List of positive integer factors of 7000 that divides 7000 without a remainder.
1,2,4,5,7,8,10,14,20,25,28,35,40,50,56,70,100,125,140,175,200,250,280,350,500,700,875,1000,1400,1750,3500,7000
Greatest Common Factor
We found the factors and prime factorization of 6993 and 7000. The biggest common factor number is the GCF number.
So the greatest common factor 6993 and 7000 is 7.
Also check out the Least Common Multiple of 6993 and 7000
(i) The GCF of 6993 and 7000 is associative
GCF of 6993 and 7000 = GCF of 7000 and 6993
1. What is the GCF of 6993 and 7000?
Answer: GCF of 6993 and 7000 is 7.
2. What are the Factors of 6993?
Answer: Factors of 6993 are 1, 3, 7, 9, 21, 27, 37, 63, 111, 189, 259, 333, 777, 999, 2331, 6993. There are 16 integers that are factors of 6993. The greatest factor of 6993 is 6993.
3. What are the Factors of 7000?
Answer: Factors of 7000 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 125, 140, 175, 200, 250, 280, 350, 500, 700, 875, 1000, 1400, 1750, 3500, 7000. There are 32 integers that are factors of 7000. The greatest factor of 7000 is 7000.
4. How to Find the GCF of 6993 and 7000?
Answer:
Greatest Common Factor of 6993 and 7000 = 7
Step 1: Find the prime factorization of 6993
6993 = 3 x 3 x 3 x 7 x 37
Step 2: Find the prime factorization of 7000
7000 = 2 x 2 x 2 x 5 x 5 x 5 x 7
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 6993 and 7000 is 7