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 6575, 6582 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6575 and 6582 is 1.
GCF(6575,6582) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6575
5 | 6575 |
5 | 1315 |
263 | 263 |
1 |
Prime factors of 6575 are 5,263. Prime factorization of 6575 in exponential form is:
6575 = 52×2631
Prime Factorization of 6582
2 | 6582 |
3 | 3291 |
1097 | 1097 |
1 |
Prime factors of 6582 are 2,3,1097. Prime factorization of 6582 in exponential form is:
6582 = 21×31×10971
∴ So by taking common prime factors GCF of 6575 and 6582 is 1
Factors of 6575
List of positive integer factors of 6575 that divides 6575 without a remainder.
1,5,25,263,1315,6575
Factors of 6582
List of positive integer factors of 6582 that divides 6582 without a remainder.
1,2,3,6,1097,2194,3291,6582
Greatest Common Factor
We found the factors and prime factorization of 6575 and 6582. The biggest common factor number is the GCF number.
So the greatest common factor 6575 and 6582 is 1.
Also check out the Least Common Multiple of 6575 and 6582
(i) The GCF of 6575 and 6582 is associative
GCF of 6575 and 6582 = GCF of 6582 and 6575
1. What is the GCF of 6575 and 6582?
Answer: GCF of 6575 and 6582 is 1.
2. What are the Factors of 6575?
Answer: Factors of 6575 are 1, 5, 25, 263, 1315, 6575. There are 6 integers that are factors of 6575. The greatest factor of 6575 is 6575.
3. What are the Factors of 6582?
Answer: Factors of 6582 are 1, 2, 3, 6, 1097, 2194, 3291, 6582. There are 8 integers that are factors of 6582. The greatest factor of 6582 is 6582.
4. How to Find the GCF of 6575 and 6582?
Answer:
Greatest Common Factor of 6575 and 6582 = 1
Step 1: Find the prime factorization of 6575
6575 = 5 x 5 x 263
Step 2: Find the prime factorization of 6582
6582 = 2 x 3 x 1097
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 6575 and 6582 is 1