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 8066, 8070 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8066 and 8070 is 2.
GCF(8066,8070) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8066
2 | 8066 |
37 | 4033 |
109 | 109 |
1 |
Prime factors of 8066 are 2,37,109. Prime factorization of 8066 in exponential form is:
8066 = 21×371×1091
Prime Factorization of 8070
2 | 8070 |
3 | 4035 |
5 | 1345 |
269 | 269 |
1 |
Prime factors of 8070 are 2,3,5,269. Prime factorization of 8070 in exponential form is:
8070 = 21×31×51×2691
∴ So by taking common prime factors GCF of 8066 and 8070 is 2
Factors of 8066
List of positive integer factors of 8066 that divides 8066 without a remainder.
1,2,37,74,109,218,4033,8066
Factors of 8070
List of positive integer factors of 8070 that divides 8070 without a remainder.
1,2,3,5,6,10,15,30,269,538,807,1345,1614,2690,4035,8070
Greatest Common Factor
We found the factors and prime factorization of 8066 and 8070. The biggest common factor number is the GCF number.
So the greatest common factor 8066 and 8070 is 2.
Also check out the Least Common Multiple of 8066 and 8070
(i) The GCF of 8066 and 8070 is associative
GCF of 8066 and 8070 = GCF of 8070 and 8066
1. What is the GCF of 8066 and 8070?
Answer: GCF of 8066 and 8070 is 2.
2. What are the Factors of 8066?
Answer: Factors of 8066 are 1, 2, 37, 74, 109, 218, 4033, 8066. There are 8 integers that are factors of 8066. The greatest factor of 8066 is 8066.
3. What are the Factors of 8070?
Answer: Factors of 8070 are 1, 2, 3, 5, 6, 10, 15, 30, 269, 538, 807, 1345, 1614, 2690, 4035, 8070. There are 16 integers that are factors of 8070. The greatest factor of 8070 is 8070.
4. How to Find the GCF of 8066 and 8070?
Answer:
Greatest Common Factor of 8066 and 8070 = 2
Step 1: Find the prime factorization of 8066
8066 = 2 x 37 x 109
Step 2: Find the prime factorization of 8070
8070 = 2 x 3 x 5 x 269
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 8066 and 8070 is 2