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 8284, 8289 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8284 and 8289 is 1.
GCF(8284,8289) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8284
2 | 8284 |
2 | 4142 |
19 | 2071 |
109 | 109 |
1 |
Prime factors of 8284 are 2,19,109. Prime factorization of 8284 in exponential form is:
8284 = 22×191×1091
Prime Factorization of 8289
3 | 8289 |
3 | 2763 |
3 | 921 |
307 | 307 |
1 |
Prime factors of 8289 are 3,307. Prime factorization of 8289 in exponential form is:
8289 = 33×3071
∴ So by taking common prime factors GCF of 8284 and 8289 is 1
Factors of 8284
List of positive integer factors of 8284 that divides 8284 without a remainder.
1,2,4,19,38,76,109,218,436,2071,4142,8284
Factors of 8289
List of positive integer factors of 8289 that divides 8289 without a remainder.
1,3,9,27,307,921,2763,8289
Greatest Common Factor
We found the factors and prime factorization of 8284 and 8289. The biggest common factor number is the GCF number.
So the greatest common factor 8284 and 8289 is 1.
Also check out the Least Common Multiple of 8284 and 8289
(i) The GCF of 8284 and 8289 is associative
GCF of 8284 and 8289 = GCF of 8289 and 8284
1. What is the GCF of 8284 and 8289?
Answer: GCF of 8284 and 8289 is 1.
2. What are the Factors of 8284?
Answer: Factors of 8284 are 1, 2, 4, 19, 38, 76, 109, 218, 436, 2071, 4142, 8284. There are 12 integers that are factors of 8284. The greatest factor of 8284 is 8284.
3. What are the Factors of 8289?
Answer: Factors of 8289 are 1, 3, 9, 27, 307, 921, 2763, 8289. There are 8 integers that are factors of 8289. The greatest factor of 8289 is 8289.
4. How to Find the GCF of 8284 and 8289?
Answer:
Greatest Common Factor of 8284 and 8289 = 1
Step 1: Find the prime factorization of 8284
8284 = 2 x 2 x 19 x 109
Step 2: Find the prime factorization of 8289
8289 = 3 x 3 x 3 x 307
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 8284 and 8289 is 1