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 3065, 3070 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3065 and 3070 is 5.
GCF(3065,3070) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3065
5 | 3065 |
613 | 613 |
1 |
Prime factors of 3065 are 5,613. Prime factorization of 3065 in exponential form is:
3065 = 51×6131
Prime Factorization of 3070
2 | 3070 |
5 | 1535 |
307 | 307 |
1 |
Prime factors of 3070 are 2,5,307. Prime factorization of 3070 in exponential form is:
3070 = 21×51×3071
∴ So by taking common prime factors GCF of 3065 and 3070 is 5
Factors of 3065
List of positive integer factors of 3065 that divides 3065 without a remainder.
1,5,613,3065
Factors of 3070
List of positive integer factors of 3070 that divides 3070 without a remainder.
1,2,5,10,307,614,1535,3070
Greatest Common Factor
We found the factors and prime factorization of 3065 and 3070. The biggest common factor number is the GCF number.
So the greatest common factor 3065 and 3070 is 5.
Also check out the Least Common Multiple of 3065 and 3070
(i) The GCF of 3065 and 3070 is associative
GCF of 3065 and 3070 = GCF of 3070 and 3065
1. What is the GCF of 3065 and 3070?
Answer: GCF of 3065 and 3070 is 5.
2. What are the Factors of 3065?
Answer: Factors of 3065 are 1, 5, 613, 3065. There are 4 integers that are factors of 3065. The greatest factor of 3065 is 3065.
3. What are the Factors of 3070?
Answer: Factors of 3070 are 1, 2, 5, 10, 307, 614, 1535, 3070. There are 8 integers that are factors of 3070. The greatest factor of 3070 is 3070.
4. How to Find the GCF of 3065 and 3070?
Answer:
Greatest Common Factor of 3065 and 3070 = 5
Step 1: Find the prime factorization of 3065
3065 = 5 x 613
Step 2: Find the prime factorization of 3070
3070 = 2 x 5 x 307
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 3065 and 3070 is 5