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 6070, 6078 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6070 and 6078 is 2.
GCF(6070,6078) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6070
2 | 6070 |
5 | 3035 |
607 | 607 |
1 |
Prime factors of 6070 are 2,5,607. Prime factorization of 6070 in exponential form is:
6070 = 21×51×6071
Prime Factorization of 6078
2 | 6078 |
3 | 3039 |
1013 | 1013 |
1 |
Prime factors of 6078 are 2,3,1013. Prime factorization of 6078 in exponential form is:
6078 = 21×31×10131
∴ So by taking common prime factors GCF of 6070 and 6078 is 2
Factors of 6070
List of positive integer factors of 6070 that divides 6070 without a remainder.
1,2,5,10,607,1214,3035,6070
Factors of 6078
List of positive integer factors of 6078 that divides 6078 without a remainder.
1,2,3,6,1013,2026,3039,6078
Greatest Common Factor
We found the factors and prime factorization of 6070 and 6078. The biggest common factor number is the GCF number.
So the greatest common factor 6070 and 6078 is 2.
Also check out the Least Common Multiple of 6070 and 6078
(i) The GCF of 6070 and 6078 is associative
GCF of 6070 and 6078 = GCF of 6078 and 6070
1. What is the GCF of 6070 and 6078?
Answer: GCF of 6070 and 6078 is 2.
2. What are the Factors of 6070?
Answer: Factors of 6070 are 1, 2, 5, 10, 607, 1214, 3035, 6070. There are 8 integers that are factors of 6070. The greatest factor of 6070 is 6070.
3. What are the Factors of 6078?
Answer: Factors of 6078 are 1, 2, 3, 6, 1013, 2026, 3039, 6078. There are 8 integers that are factors of 6078. The greatest factor of 6078 is 6078.
4. How to Find the GCF of 6070 and 6078?
Answer:
Greatest Common Factor of 6070 and 6078 = 2
Step 1: Find the prime factorization of 6070
6070 = 2 x 5 x 607
Step 2: Find the prime factorization of 6078
6078 = 2 x 3 x 1013
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 6070 and 6078 is 2