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 8535, 8538 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8535 and 8538 is 3.
GCF(8535,8538) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8535
3 | 8535 |
5 | 2845 |
569 | 569 |
1 |
Prime factors of 8535 are 3,5,569. Prime factorization of 8535 in exponential form is:
8535 = 31×51×5691
Prime Factorization of 8538
2 | 8538 |
3 | 4269 |
1423 | 1423 |
1 |
Prime factors of 8538 are 2,3,1423. Prime factorization of 8538 in exponential form is:
8538 = 21×31×14231
∴ So by taking common prime factors GCF of 8535 and 8538 is 3
Factors of 8535
List of positive integer factors of 8535 that divides 8535 without a remainder.
1,3,5,15,569,1707,2845,8535
Factors of 8538
List of positive integer factors of 8538 that divides 8538 without a remainder.
1,2,3,6,1423,2846,4269,8538
Greatest Common Factor
We found the factors and prime factorization of 8535 and 8538. The biggest common factor number is the GCF number.
So the greatest common factor 8535 and 8538 is 3.
Also check out the Least Common Multiple of 8535 and 8538
(i) The GCF of 8535 and 8538 is associative
GCF of 8535 and 8538 = GCF of 8538 and 8535
1. What is the GCF of 8535 and 8538?
Answer: GCF of 8535 and 8538 is 3.
2. What are the Factors of 8535?
Answer: Factors of 8535 are 1, 3, 5, 15, 569, 1707, 2845, 8535. There are 8 integers that are factors of 8535. The greatest factor of 8535 is 8535.
3. What are the Factors of 8538?
Answer: Factors of 8538 are 1, 2, 3, 6, 1423, 2846, 4269, 8538. There are 8 integers that are factors of 8538. The greatest factor of 8538 is 8538.
4. How to Find the GCF of 8535 and 8538?
Answer:
Greatest Common Factor of 8535 and 8538 = 3
Step 1: Find the prime factorization of 8535
8535 = 3 x 5 x 569
Step 2: Find the prime factorization of 8538
8538 = 2 x 3 x 1423
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 8535 and 8538 is 3