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 8434, 8439 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8434 and 8439 is 1.
GCF(8434,8439) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8434
2 | 8434 |
4217 | 4217 |
1 |
Prime factors of 8434 are 2,4217. Prime factorization of 8434 in exponential form is:
8434 = 21×42171
Prime Factorization of 8439
3 | 8439 |
29 | 2813 |
97 | 97 |
1 |
Prime factors of 8439 are 3,29,97. Prime factorization of 8439 in exponential form is:
8439 = 31×291×971
∴ So by taking common prime factors GCF of 8434 and 8439 is 1
Factors of 8434
List of positive integer factors of 8434 that divides 8434 without a remainder.
1,2,4217,8434
Factors of 8439
List of positive integer factors of 8439 that divides 8439 without a remainder.
1,3,29,87,97,291,2813,8439
Greatest Common Factor
We found the factors and prime factorization of 8434 and 8439. The biggest common factor number is the GCF number.
So the greatest common factor 8434 and 8439 is 1.
Also check out the Least Common Multiple of 8434 and 8439
(i) The GCF of 8434 and 8439 is associative
GCF of 8434 and 8439 = GCF of 8439 and 8434
1. What is the GCF of 8434 and 8439?
Answer: GCF of 8434 and 8439 is 1.
2. What are the Factors of 8434?
Answer: Factors of 8434 are 1, 2, 4217, 8434. There are 4 integers that are factors of 8434. The greatest factor of 8434 is 8434.
3. What are the Factors of 8439?
Answer: Factors of 8439 are 1, 3, 29, 87, 97, 291, 2813, 8439. There are 8 integers that are factors of 8439. The greatest factor of 8439 is 8439.
4. How to Find the GCF of 8434 and 8439?
Answer:
Greatest Common Factor of 8434 and 8439 = 1
Step 1: Find the prime factorization of 8434
8434 = 2 x 4217
Step 2: Find the prime factorization of 8439
8439 = 3 x 29 x 97
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 8434 and 8439 is 1