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 8538, 8543 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8538 and 8543 is 1.
GCF(8538,8543) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 8543
8543 | 8543 |
1 |
Prime factors of 8543 are 8543. Prime factorization of 8543 in exponential form is:
8543 = 85431
∴ So by taking common prime factors GCF of 8538 and 8543 is 1
Factors of 8538
List of positive integer factors of 8538 that divides 8538 without a remainder.
1,2,3,6,1423,2846,4269,8538
Factors of 8543
List of positive integer factors of 8543 that divides 8543 without a remainder.
1,8543
Greatest Common Factor
We found the factors and prime factorization of 8538 and 8543. The biggest common factor number is the GCF number.
So the greatest common factor 8538 and 8543 is 1.
Also check out the Least Common Multiple of 8538 and 8543
(i) The GCF of 8538 and 8543 is associative
GCF of 8538 and 8543 = GCF of 8543 and 8538
1. What is the GCF of 8538 and 8543?
Answer: GCF of 8538 and 8543 is 1.
2. 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.
3. What are the Factors of 8543?
Answer: Factors of 8543 are 1, 8543. There are 2 integers that are factors of 8543. The greatest factor of 8543 is 8543.
4. How to Find the GCF of 8538 and 8543?
Answer:
Greatest Common Factor of 8538 and 8543 = 1
Step 1: Find the prime factorization of 8538
8538 = 2 x 3 x 1423
Step 2: Find the prime factorization of 8543
8543 = 8543
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 8538 and 8543 is 1