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 6615, 6621 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6615 and 6621 is 3.
GCF(6615,6621) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6615
3 | 6615 |
3 | 2205 |
3 | 735 |
5 | 245 |
7 | 49 |
7 | 7 |
1 |
Prime factors of 6615 are 3,5,7. Prime factorization of 6615 in exponential form is:
6615 = 33×51×72
Prime Factorization of 6621
3 | 6621 |
2207 | 2207 |
1 |
Prime factors of 6621 are 3,2207. Prime factorization of 6621 in exponential form is:
6621 = 31×22071
∴ So by taking common prime factors GCF of 6615 and 6621 is 3
Factors of 6615
List of positive integer factors of 6615 that divides 6615 without a remainder.
1,3,5,7,9,15,21,27,35,45,49,63,105,135,147,189,245,315,441,735,945,1323,2205,6615
Factors of 6621
List of positive integer factors of 6621 that divides 6621 without a remainder.
1,3,2207,6621
Greatest Common Factor
We found the factors and prime factorization of 6615 and 6621. The biggest common factor number is the GCF number.
So the greatest common factor 6615 and 6621 is 3.
Also check out the Least Common Multiple of 6615 and 6621
(i) The GCF of 6615 and 6621 is associative
GCF of 6615 and 6621 = GCF of 6621 and 6615
1. What is the GCF of 6615 and 6621?
Answer: GCF of 6615 and 6621 is 3.
2. What are the Factors of 6615?
Answer: Factors of 6615 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 49, 63, 105, 135, 147, 189, 245, 315, 441, 735, 945, 1323, 2205, 6615. There are 24 integers that are factors of 6615. The greatest factor of 6615 is 6615.
3. What are the Factors of 6621?
Answer: Factors of 6621 are 1, 3, 2207, 6621. There are 4 integers that are factors of 6621. The greatest factor of 6621 is 6621.
4. How to Find the GCF of 6615 and 6621?
Answer:
Greatest Common Factor of 6615 and 6621 = 3
Step 1: Find the prime factorization of 6615
6615 = 3 x 3 x 3 x 5 x 7 x 7
Step 2: Find the prime factorization of 6621
6621 = 3 x 2207
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 6615 and 6621 is 3