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 6992, 6993 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6992 and 6993 is 1.
GCF(6992,6993) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6992
2 | 6992 |
2 | 3496 |
2 | 1748 |
2 | 874 |
19 | 437 |
23 | 23 |
1 |
Prime factors of 6992 are 2,19,23. Prime factorization of 6992 in exponential form is:
6992 = 24×191×231
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 6992 and 6993 is 1
Factors of 6992
List of positive integer factors of 6992 that divides 6992 without a remainder.
1,2,4,8,16,19,23,38,46,76,92,152,184,304,368,437,874,1748,3496,6992
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 6992 and 6993. The biggest common factor number is the GCF number.
So the greatest common factor 6992 and 6993 is 1.
Also check out the Least Common Multiple of 6992 and 6993
(i) The GCF of 6992 and 6993 is associative
GCF of 6992 and 6993 = GCF of 6993 and 6992
1. What is the GCF of 6992 and 6993?
Answer: GCF of 6992 and 6993 is 1.
2. What are the Factors of 6992?
Answer: Factors of 6992 are 1, 2, 4, 8, 16, 19, 23, 38, 46, 76, 92, 152, 184, 304, 368, 437, 874, 1748, 3496, 6992. There are 20 integers that are factors of 6992. The greatest factor of 6992 is 6992.
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 6992 and 6993?
Answer:
Greatest Common Factor of 6992 and 6993 = 1
Step 1: Find the prime factorization of 6992
6992 = 2 x 2 x 2 x 2 x 19 x 23
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 6992 and 6993 is 1