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 6405, 6413 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6405 and 6413 is 1.
GCF(6405,6413) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6405
3 | 6405 |
5 | 2135 |
7 | 427 |
61 | 61 |
1 |
Prime factors of 6405 are 3,5,7,61. Prime factorization of 6405 in exponential form is:
6405 = 31×51×71×611
Prime Factorization of 6413
11 | 6413 |
11 | 583 |
53 | 53 |
1 |
Prime factors of 6413 are 11,53. Prime factorization of 6413 in exponential form is:
6413 = 112×531
∴ So by taking common prime factors GCF of 6405 and 6413 is 1
Factors of 6405
List of positive integer factors of 6405 that divides 6405 without a remainder.
1,3,5,7,15,21,35,61,105,183,305,427,915,1281,2135,6405
Factors of 6413
List of positive integer factors of 6413 that divides 6413 without a remainder.
1,11,53,121,583,6413
Greatest Common Factor
We found the factors and prime factorization of 6405 and 6413. The biggest common factor number is the GCF number.
So the greatest common factor 6405 and 6413 is 1.
Also check out the Least Common Multiple of 6405 and 6413
(i) The GCF of 6405 and 6413 is associative
GCF of 6405 and 6413 = GCF of 6413 and 6405
1. What is the GCF of 6405 and 6413?
Answer: GCF of 6405 and 6413 is 1.
2. What are the Factors of 6405?
Answer: Factors of 6405 are 1, 3, 5, 7, 15, 21, 35, 61, 105, 183, 305, 427, 915, 1281, 2135, 6405. There are 16 integers that are factors of 6405. The greatest factor of 6405 is 6405.
3. What are the Factors of 6413?
Answer: Factors of 6413 are 1, 11, 53, 121, 583, 6413. There are 6 integers that are factors of 6413. The greatest factor of 6413 is 6413.
4. How to Find the GCF of 6405 and 6413?
Answer:
Greatest Common Factor of 6405 and 6413 = 1
Step 1: Find the prime factorization of 6405
6405 = 3 x 5 x 7 x 61
Step 2: Find the prime factorization of 6413
6413 = 11 x 11 x 53
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 6405 and 6413 is 1