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 6988, 6993 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6988 and 6993 is 1.
GCF(6988,6993) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6988
2 | 6988 |
2 | 3494 |
1747 | 1747 |
1 |
Prime factors of 6988 are 2,1747. Prime factorization of 6988 in exponential form is:
6988 = 22×17471
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
∴ So by taking common prime factors GCF of 6988 and 6993 is 1
Factors of 6988
List of positive integer factors of 6988 that divides 6988 without a remainder.
1,2,4,1747,3494,6988
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
Greatest Common Factor
We found the factors and prime factorization of 6988 and 6993. The biggest common factor number is the GCF number.
So the greatest common factor 6988 and 6993 is 1.
Also check out the Least Common Multiple of 6988 and 6993
(i) The GCF of 6988 and 6993 is associative
GCF of 6988 and 6993 = GCF of 6993 and 6988
1. What is the GCF of 6988 and 6993?
Answer: GCF of 6988 and 6993 is 1.
2. What are the Factors of 6988?
Answer: Factors of 6988 are 1, 2, 4, 1747, 3494, 6988. There are 6 integers that are factors of 6988. The greatest factor of 6988 is 6988.
3. 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.
4. How to Find the GCF of 6988 and 6993?
Answer:
Greatest Common Factor of 6988 and 6993 = 1
Step 1: Find the prime factorization of 6988
6988 = 2 x 2 x 1747
Step 2: Find the prime factorization of 6993
6993 = 3 x 3 x 3 x 7 x 37
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 6988 and 6993 is 1