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 3006, 3011 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3006 and 3011 is 1.
GCF(3006,3011) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3006
2 | 3006 |
3 | 1503 |
3 | 501 |
167 | 167 |
1 |
Prime factors of 3006 are 2,3,167. Prime factorization of 3006 in exponential form is:
3006 = 21×32×1671
Prime Factorization of 3011
3011 | 3011 |
1 |
Prime factors of 3011 are 3011. Prime factorization of 3011 in exponential form is:
3011 = 30111
∴ So by taking common prime factors GCF of 3006 and 3011 is 1
Factors of 3006
List of positive integer factors of 3006 that divides 3006 without a remainder.
1,2,3,6,9,18,167,334,501,1002,1503,3006
Factors of 3011
List of positive integer factors of 3011 that divides 3011 without a remainder.
1,3011
Greatest Common Factor
We found the factors and prime factorization of 3006 and 3011. The biggest common factor number is the GCF number.
So the greatest common factor 3006 and 3011 is 1.
Also check out the Least Common Multiple of 3006 and 3011
(i) The GCF of 3006 and 3011 is associative
GCF of 3006 and 3011 = GCF of 3011 and 3006
1. What is the GCF of 3006 and 3011?
Answer: GCF of 3006 and 3011 is 1.
2. What are the Factors of 3006?
Answer: Factors of 3006 are 1, 2, 3, 6, 9, 18, 167, 334, 501, 1002, 1503, 3006. There are 12 integers that are factors of 3006. The greatest factor of 3006 is 3006.
3. What are the Factors of 3011?
Answer: Factors of 3011 are 1, 3011. There are 2 integers that are factors of 3011. The greatest factor of 3011 is 3011.
4. How to Find the GCF of 3006 and 3011?
Answer:
Greatest Common Factor of 3006 and 3011 = 1
Step 1: Find the prime factorization of 3006
3006 = 2 x 3 x 3 x 167
Step 2: Find the prime factorization of 3011
3011 = 3011
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 3006 and 3011 is 1