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 6006, 6011 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6006 and 6011 is 1.
GCF(6006,6011) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6006
2 | 6006 |
3 | 3003 |
7 | 1001 |
11 | 143 |
13 | 13 |
1 |
Prime factors of 6006 are 2,3,7,11,13. Prime factorization of 6006 in exponential form is:
6006 = 21×31×71×111×131
Prime Factorization of 6011
6011 | 6011 |
1 |
Prime factors of 6011 are 6011. Prime factorization of 6011 in exponential form is:
6011 = 60111
∴ So by taking common prime factors GCF of 6006 and 6011 is 1
Factors of 6006
List of positive integer factors of 6006 that divides 6006 without a remainder.
1,2,3,6,7,11,13,14,21,22,26,33,39,42,66,77,78,91,143,154,182,231,273,286,429,462,546,858,1001,2002,3003,6006
Factors of 6011
List of positive integer factors of 6011 that divides 6011 without a remainder.
1,6011
Greatest Common Factor
We found the factors and prime factorization of 6006 and 6011. The biggest common factor number is the GCF number.
So the greatest common factor 6006 and 6011 is 1.
Also check out the Least Common Multiple of 6006 and 6011
(i) The GCF of 6006 and 6011 is associative
GCF of 6006 and 6011 = GCF of 6011 and 6006
1. What is the GCF of 6006 and 6011?
Answer: GCF of 6006 and 6011 is 1.
2. What are the Factors of 6006?
Answer: Factors of 6006 are 1, 2, 3, 6, 7, 11, 13, 14, 21, 22, 26, 33, 39, 42, 66, 77, 78, 91, 143, 154, 182, 231, 273, 286, 429, 462, 546, 858, 1001, 2002, 3003, 6006. There are 32 integers that are factors of 6006. The greatest factor of 6006 is 6006.
3. What are the Factors of 6011?
Answer: Factors of 6011 are 1, 6011. There are 2 integers that are factors of 6011. The greatest factor of 6011 is 6011.
4. How to Find the GCF of 6006 and 6011?
Answer:
Greatest Common Factor of 6006 and 6011 = 1
Step 1: Find the prime factorization of 6006
6006 = 2 x 3 x 7 x 11 x 13
Step 2: Find the prime factorization of 6011
6011 = 6011
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 6006 and 6011 is 1