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 6690, 6693 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6690 and 6693 is 3.
GCF(6690,6693) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6690
2 | 6690 |
3 | 3345 |
5 | 1115 |
223 | 223 |
1 |
Prime factors of 6690 are 2,3,5,223. Prime factorization of 6690 in exponential form is:
6690 = 21×31×51×2231
Prime Factorization of 6693
3 | 6693 |
23 | 2231 |
97 | 97 |
1 |
Prime factors of 6693 are 3,23,97. Prime factorization of 6693 in exponential form is:
6693 = 31×231×971
∴ So by taking common prime factors GCF of 6690 and 6693 is 3
Factors of 6690
List of positive integer factors of 6690 that divides 6690 without a remainder.
1,2,3,5,6,10,15,30,223,446,669,1115,1338,2230,3345,6690
Factors of 6693
List of positive integer factors of 6693 that divides 6693 without a remainder.
1,3,23,69,97,291,2231,6693
Greatest Common Factor
We found the factors and prime factorization of 6690 and 6693. The biggest common factor number is the GCF number.
So the greatest common factor 6690 and 6693 is 3.
Also check out the Least Common Multiple of 6690 and 6693
(i) The GCF of 6690 and 6693 is associative
GCF of 6690 and 6693 = GCF of 6693 and 6690
1. What is the GCF of 6690 and 6693?
Answer: GCF of 6690 and 6693 is 3.
2. What are the Factors of 6690?
Answer: Factors of 6690 are 1, 2, 3, 5, 6, 10, 15, 30, 223, 446, 669, 1115, 1338, 2230, 3345, 6690. There are 16 integers that are factors of 6690. The greatest factor of 6690 is 6690.
3. What are the Factors of 6693?
Answer: Factors of 6693 are 1, 3, 23, 69, 97, 291, 2231, 6693. There are 8 integers that are factors of 6693. The greatest factor of 6693 is 6693.
4. How to Find the GCF of 6690 and 6693?
Answer:
Greatest Common Factor of 6690 and 6693 = 3
Step 1: Find the prime factorization of 6690
6690 = 2 x 3 x 5 x 223
Step 2: Find the prime factorization of 6693
6693 = 3 x 23 x 97
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 6690 and 6693 is 3