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 8533, 8534 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8533 and 8534 is 1.
GCF(8533,8534) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8533
7 | 8533 |
23 | 1219 |
53 | 53 |
1 |
Prime factors of 8533 are 7,23,53. Prime factorization of 8533 in exponential form is:
8533 = 71×231×531
Prime Factorization of 8534
2 | 8534 |
17 | 4267 |
251 | 251 |
1 |
Prime factors of 8534 are 2,17,251. Prime factorization of 8534 in exponential form is:
8534 = 21×171×2511
∴ So by taking common prime factors GCF of 8533 and 8534 is 1
Factors of 8533
List of positive integer factors of 8533 that divides 8533 without a remainder.
1,7,23,53,161,371,1219,8533
Factors of 8534
List of positive integer factors of 8534 that divides 8534 without a remainder.
1,2,17,34,251,502,4267,8534
Greatest Common Factor
We found the factors and prime factorization of 8533 and 8534. The biggest common factor number is the GCF number.
So the greatest common factor 8533 and 8534 is 1.
Also check out the Least Common Multiple of 8533 and 8534
(i) The GCF of 8533 and 8534 is associative
GCF of 8533 and 8534 = GCF of 8534 and 8533
1. What is the GCF of 8533 and 8534?
Answer: GCF of 8533 and 8534 is 1.
2. What are the Factors of 8533?
Answer: Factors of 8533 are 1, 7, 23, 53, 161, 371, 1219, 8533. There are 8 integers that are factors of 8533. The greatest factor of 8533 is 8533.
3. What are the Factors of 8534?
Answer: Factors of 8534 are 1, 2, 17, 34, 251, 502, 4267, 8534. There are 8 integers that are factors of 8534. The greatest factor of 8534 is 8534.
4. How to Find the GCF of 8533 and 8534?
Answer:
Greatest Common Factor of 8533 and 8534 = 1
Step 1: Find the prime factorization of 8533
8533 = 7 x 23 x 53
Step 2: Find the prime factorization of 8534
8534 = 2 x 17 x 251
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 8533 and 8534 is 1