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 6564, 6571 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6564 and 6571 is 1.
GCF(6564,6571) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6564
2 | 6564 |
2 | 3282 |
3 | 1641 |
547 | 547 |
1 |
Prime factors of 6564 are 2,3,547. Prime factorization of 6564 in exponential form is:
6564 = 22×31×5471
Prime Factorization of 6571
6571 | 6571 |
1 |
Prime factors of 6571 are 6571. Prime factorization of 6571 in exponential form is:
6571 = 65711
∴ So by taking common prime factors GCF of 6564 and 6571 is 1
Factors of 6564
List of positive integer factors of 6564 that divides 6564 without a remainder.
1,2,3,4,6,12,547,1094,1641,2188,3282,6564
Factors of 6571
List of positive integer factors of 6571 that divides 6571 without a remainder.
1,6571
Greatest Common Factor
We found the factors and prime factorization of 6564 and 6571. The biggest common factor number is the GCF number.
So the greatest common factor 6564 and 6571 is 1.
Also check out the Least Common Multiple of 6564 and 6571
(i) The GCF of 6564 and 6571 is associative
GCF of 6564 and 6571 = GCF of 6571 and 6564
1. What is the GCF of 6564 and 6571?
Answer: GCF of 6564 and 6571 is 1.
2. What are the Factors of 6564?
Answer: Factors of 6564 are 1, 2, 3, 4, 6, 12, 547, 1094, 1641, 2188, 3282, 6564. There are 12 integers that are factors of 6564. The greatest factor of 6564 is 6564.
3. What are the Factors of 6571?
Answer: Factors of 6571 are 1, 6571. There are 2 integers that are factors of 6571. The greatest factor of 6571 is 6571.
4. How to Find the GCF of 6564 and 6571?
Answer:
Greatest Common Factor of 6564 and 6571 = 1
Step 1: Find the prime factorization of 6564
6564 = 2 x 2 x 3 x 547
Step 2: Find the prime factorization of 6571
6571 = 6571
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 6564 and 6571 is 1