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 8334, 8339 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8334 and 8339 is 1.
GCF(8334,8339) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8334
2 | 8334 |
3 | 4167 |
3 | 1389 |
463 | 463 |
1 |
Prime factors of 8334 are 2,3,463. Prime factorization of 8334 in exponential form is:
8334 = 21×32×4631
Prime Factorization of 8339
31 | 8339 |
269 | 269 |
1 |
Prime factors of 8339 are 31,269. Prime factorization of 8339 in exponential form is:
8339 = 311×2691
∴ So by taking common prime factors GCF of 8334 and 8339 is 1
Factors of 8334
List of positive integer factors of 8334 that divides 8334 without a remainder.
1,2,3,6,9,18,463,926,1389,2778,4167,8334
Factors of 8339
List of positive integer factors of 8339 that divides 8339 without a remainder.
1,31,269,8339
Greatest Common Factor
We found the factors and prime factorization of 8334 and 8339. The biggest common factor number is the GCF number.
So the greatest common factor 8334 and 8339 is 1.
Also check out the Least Common Multiple of 8334 and 8339
(i) The GCF of 8334 and 8339 is associative
GCF of 8334 and 8339 = GCF of 8339 and 8334
1. What is the GCF of 8334 and 8339?
Answer: GCF of 8334 and 8339 is 1.
2. What are the Factors of 8334?
Answer: Factors of 8334 are 1, 2, 3, 6, 9, 18, 463, 926, 1389, 2778, 4167, 8334. There are 12 integers that are factors of 8334. The greatest factor of 8334 is 8334.
3. What are the Factors of 8339?
Answer: Factors of 8339 are 1, 31, 269, 8339. There are 4 integers that are factors of 8339. The greatest factor of 8339 is 8339.
4. How to Find the GCF of 8334 and 8339?
Answer:
Greatest Common Factor of 8334 and 8339 = 1
Step 1: Find the prime factorization of 8334
8334 = 2 x 3 x 3 x 463
Step 2: Find the prime factorization of 8339
8339 = 31 x 269
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 8334 and 8339 is 1