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 8034, 8039 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8034 and 8039 is 1.
GCF(8034,8039) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8034
2 | 8034 |
3 | 4017 |
13 | 1339 |
103 | 103 |
1 |
Prime factors of 8034 are 2,3,13,103. Prime factorization of 8034 in exponential form is:
8034 = 21×31×131×1031
Prime Factorization of 8039
8039 | 8039 |
1 |
Prime factors of 8039 are 8039. Prime factorization of 8039 in exponential form is:
8039 = 80391
∴ So by taking common prime factors GCF of 8034 and 8039 is 1
Factors of 8034
List of positive integer factors of 8034 that divides 8034 without a remainder.
1,2,3,6,13,26,39,78,103,206,309,618,1339,2678,4017,8034
Factors of 8039
List of positive integer factors of 8039 that divides 8039 without a remainder.
1,8039
Greatest Common Factor
We found the factors and prime factorization of 8034 and 8039. The biggest common factor number is the GCF number.
So the greatest common factor 8034 and 8039 is 1.
Also check out the Least Common Multiple of 8034 and 8039
(i) The GCF of 8034 and 8039 is associative
GCF of 8034 and 8039 = GCF of 8039 and 8034
1. What is the GCF of 8034 and 8039?
Answer: GCF of 8034 and 8039 is 1.
2. What are the Factors of 8034?
Answer: Factors of 8034 are 1, 2, 3, 6, 13, 26, 39, 78, 103, 206, 309, 618, 1339, 2678, 4017, 8034. There are 16 integers that are factors of 8034. The greatest factor of 8034 is 8034.
3. What are the Factors of 8039?
Answer: Factors of 8039 are 1, 8039. There are 2 integers that are factors of 8039. The greatest factor of 8039 is 8039.
4. How to Find the GCF of 8034 and 8039?
Answer:
Greatest Common Factor of 8034 and 8039 = 1
Step 1: Find the prime factorization of 8034
8034 = 2 x 3 x 13 x 103
Step 2: Find the prime factorization of 8039
8039 = 8039
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 8034 and 8039 is 1