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 3005, 3012 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3005 and 3012 is 1.
GCF(3005,3012) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3005
5 | 3005 |
601 | 601 |
1 |
Prime factors of 3005 are 5,601. Prime factorization of 3005 in exponential form is:
3005 = 51×6011
Prime Factorization of 3012
2 | 3012 |
2 | 1506 |
3 | 753 |
251 | 251 |
1 |
Prime factors of 3012 are 2,3,251. Prime factorization of 3012 in exponential form is:
3012 = 22×31×2511
∴ So by taking common prime factors GCF of 3005 and 3012 is 1
Factors of 3005
List of positive integer factors of 3005 that divides 3005 without a remainder.
1,5,601,3005
Factors of 3012
List of positive integer factors of 3012 that divides 3012 without a remainder.
1,2,3,4,6,12,251,502,753,1004,1506,3012
Greatest Common Factor
We found the factors and prime factorization of 3005 and 3012. The biggest common factor number is the GCF number.
So the greatest common factor 3005 and 3012 is 1.
Also check out the Least Common Multiple of 3005 and 3012
(i) The GCF of 3005 and 3012 is associative
GCF of 3005 and 3012 = GCF of 3012 and 3005
1. What is the GCF of 3005 and 3012?
Answer: GCF of 3005 and 3012 is 1.
2. What are the Factors of 3005?
Answer: Factors of 3005 are 1, 5, 601, 3005. There are 4 integers that are factors of 3005. The greatest factor of 3005 is 3005.
3. What are the Factors of 3012?
Answer: Factors of 3012 are 1, 2, 3, 4, 6, 12, 251, 502, 753, 1004, 1506, 3012. There are 12 integers that are factors of 3012. The greatest factor of 3012 is 3012.
4. How to Find the GCF of 3005 and 3012?
Answer:
Greatest Common Factor of 3005 and 3012 = 1
Step 1: Find the prime factorization of 3005
3005 = 5 x 601
Step 2: Find the prime factorization of 3012
3012 = 2 x 2 x 3 x 251
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 3005 and 3012 is 1