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 6567, 6575 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6567 and 6575 is 1.
GCF(6567,6575) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6567
3 | 6567 |
11 | 2189 |
199 | 199 |
1 |
Prime factors of 6567 are 3,11,199. Prime factorization of 6567 in exponential form is:
6567 = 31×111×1991
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
∴ So by taking common prime factors GCF of 6567 and 6575 is 1
Factors of 6567
List of positive integer factors of 6567 that divides 6567 without a remainder.
1,3,11,33,199,597,2189,6567
Factors of 6575
List of positive integer factors of 6575 that divides 6575 without a remainder.
1,5,25,263,1315,6575
Greatest Common Factor
We found the factors and prime factorization of 6567 and 6575. The biggest common factor number is the GCF number.
So the greatest common factor 6567 and 6575 is 1.
Also check out the Least Common Multiple of 6567 and 6575
(i) The GCF of 6567 and 6575 is associative
GCF of 6567 and 6575 = GCF of 6575 and 6567
1. What is the GCF of 6567 and 6575?
Answer: GCF of 6567 and 6575 is 1.
2. What are the Factors of 6567?
Answer: Factors of 6567 are 1, 3, 11, 33, 199, 597, 2189, 6567. There are 8 integers that are factors of 6567. The greatest factor of 6567 is 6567.
3. 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.
4. How to Find the GCF of 6567 and 6575?
Answer:
Greatest Common Factor of 6567 and 6575 = 1
Step 1: Find the prime factorization of 6567
6567 = 3 x 11 x 199
Step 2: Find the prime factorization of 6575
6575 = 5 x 5 x 263
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 6567 and 6575 is 1