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 8078, 8079 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8078 and 8079 is 1.
GCF(8078,8079) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8078
2 | 8078 |
7 | 4039 |
577 | 577 |
1 |
Prime factors of 8078 are 2,7,577. Prime factorization of 8078 in exponential form is:
8078 = 21×71×5771
Prime Factorization of 8079
3 | 8079 |
2693 | 2693 |
1 |
Prime factors of 8079 are 3,2693. Prime factorization of 8079 in exponential form is:
8079 = 31×26931
∴ So by taking common prime factors GCF of 8078 and 8079 is 1
Factors of 8078
List of positive integer factors of 8078 that divides 8078 without a remainder.
1,2,7,14,577,1154,4039,8078
Factors of 8079
List of positive integer factors of 8079 that divides 8079 without a remainder.
1,3,2693,8079
Greatest Common Factor
We found the factors and prime factorization of 8078 and 8079. The biggest common factor number is the GCF number.
So the greatest common factor 8078 and 8079 is 1.
Also check out the Least Common Multiple of 8078 and 8079
(i) The GCF of 8078 and 8079 is associative
GCF of 8078 and 8079 = GCF of 8079 and 8078
1. What is the GCF of 8078 and 8079?
Answer: GCF of 8078 and 8079 is 1.
2. What are the Factors of 8078?
Answer: Factors of 8078 are 1, 2, 7, 14, 577, 1154, 4039, 8078. There are 8 integers that are factors of 8078. The greatest factor of 8078 is 8078.
3. What are the Factors of 8079?
Answer: Factors of 8079 are 1, 3, 2693, 8079. There are 4 integers that are factors of 8079. The greatest factor of 8079 is 8079.
4. How to Find the GCF of 8078 and 8079?
Answer:
Greatest Common Factor of 8078 and 8079 = 1
Step 1: Find the prime factorization of 8078
8078 = 2 x 7 x 577
Step 2: Find the prime factorization of 8079
8079 = 3 x 2693
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 8078 and 8079 is 1