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 8384, 8391 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8384 and 8391 is 1.
GCF(8384,8391) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8384
2 | 8384 |
2 | 4192 |
2 | 2096 |
2 | 1048 |
2 | 524 |
2 | 262 |
131 | 131 |
1 |
Prime factors of 8384 are 2,131. Prime factorization of 8384 in exponential form is:
8384 = 26×1311
Prime Factorization of 8391
3 | 8391 |
2797 | 2797 |
1 |
Prime factors of 8391 are 3,2797. Prime factorization of 8391 in exponential form is:
8391 = 31×27971
∴ So by taking common prime factors GCF of 8384 and 8391 is 1
Factors of 8384
List of positive integer factors of 8384 that divides 8384 without a remainder.
1,2,4,8,16,32,64,131,262,524,1048,2096,4192,8384
Factors of 8391
List of positive integer factors of 8391 that divides 8391 without a remainder.
1,3,2797,8391
Greatest Common Factor
We found the factors and prime factorization of 8384 and 8391. The biggest common factor number is the GCF number.
So the greatest common factor 8384 and 8391 is 1.
Also check out the Least Common Multiple of 8384 and 8391
(i) The GCF of 8384 and 8391 is associative
GCF of 8384 and 8391 = GCF of 8391 and 8384
1. What is the GCF of 8384 and 8391?
Answer: GCF of 8384 and 8391 is 1.
2. What are the Factors of 8384?
Answer: Factors of 8384 are 1, 2, 4, 8, 16, 32, 64, 131, 262, 524, 1048, 2096, 4192, 8384. There are 14 integers that are factors of 8384. The greatest factor of 8384 is 8384.
3. What are the Factors of 8391?
Answer: Factors of 8391 are 1, 3, 2797, 8391. There are 4 integers that are factors of 8391. The greatest factor of 8391 is 8391.
4. How to Find the GCF of 8384 and 8391?
Answer:
Greatest Common Factor of 8384 and 8391 = 1
Step 1: Find the prime factorization of 8384
8384 = 2 x 2 x 2 x 2 x 2 x 2 x 131
Step 2: Find the prime factorization of 8391
8391 = 3 x 2797
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 8384 and 8391 is 1