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 6531, 6536 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6531 and 6536 is 1.
GCF(6531,6536) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6531
3 | 6531 |
7 | 2177 |
311 | 311 |
1 |
Prime factors of 6531 are 3,7,311. Prime factorization of 6531 in exponential form is:
6531 = 31×71×3111
Prime Factorization of 6536
2 | 6536 |
2 | 3268 |
2 | 1634 |
19 | 817 |
43 | 43 |
1 |
Prime factors of 6536 are 2,19,43. Prime factorization of 6536 in exponential form is:
6536 = 23×191×431
∴ So by taking common prime factors GCF of 6531 and 6536 is 1
Factors of 6531
List of positive integer factors of 6531 that divides 6531 without a remainder.
1,3,7,21,311,933,2177,6531
Factors of 6536
List of positive integer factors of 6536 that divides 6536 without a remainder.
1,2,4,8,19,38,43,76,86,152,172,344,817,1634,3268,6536
Greatest Common Factor
We found the factors and prime factorization of 6531 and 6536. The biggest common factor number is the GCF number.
So the greatest common factor 6531 and 6536 is 1.
Also check out the Least Common Multiple of 6531 and 6536
(i) The GCF of 6531 and 6536 is associative
GCF of 6531 and 6536 = GCF of 6536 and 6531
1. What is the GCF of 6531 and 6536?
Answer: GCF of 6531 and 6536 is 1.
2. What are the Factors of 6531?
Answer: Factors of 6531 are 1, 3, 7, 21, 311, 933, 2177, 6531. There are 8 integers that are factors of 6531. The greatest factor of 6531 is 6531.
3. What are the Factors of 6536?
Answer: Factors of 6536 are 1, 2, 4, 8, 19, 38, 43, 76, 86, 152, 172, 344, 817, 1634, 3268, 6536. There are 16 integers that are factors of 6536. The greatest factor of 6536 is 6536.
4. How to Find the GCF of 6531 and 6536?
Answer:
Greatest Common Factor of 6531 and 6536 = 1
Step 1: Find the prime factorization of 6531
6531 = 3 x 7 x 311
Step 2: Find the prime factorization of 6536
6536 = 2 x 2 x 2 x 19 x 43
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 6531 and 6536 is 1