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 10005, 10011 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10005 and 10011 is 3.
GCF(10005,10011) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10005
3 | 10005 |
5 | 3335 |
23 | 667 |
29 | 29 |
1 |
Prime factors of 10005 are 3,5,23,29. Prime factorization of 10005 in exponential form is:
10005 = 31×51×231×291
Prime Factorization of 10011
3 | 10011 |
47 | 3337 |
71 | 71 |
1 |
Prime factors of 10011 are 3,47,71. Prime factorization of 10011 in exponential form is:
10011 = 31×471×711
∴ So by taking common prime factors GCF of 10005 and 10011 is 3
Factors of 10005
List of positive integer factors of 10005 that divides 10005 without a remainder.
1,3,5,15,23,29,69,87,115,145,345,435,667,2001,3335,10005
Factors of 10011
List of positive integer factors of 10011 that divides 10011 without a remainder.
1,3,47,71,141,213,3337,10011
Greatest Common Factor
We found the factors and prime factorization of 10005 and 10011. The biggest common factor number is the GCF number.
So the greatest common factor 10005 and 10011 is 3.
Also check out the Least Common Multiple of 10005 and 10011
(i) The GCF of 10005 and 10011 is associative
GCF of 10005 and 10011 = GCF of 10011 and 10005
1. What is the GCF of 10005 and 10011?
Answer: GCF of 10005 and 10011 is 3.
2. What are the Factors of 10005?
Answer: Factors of 10005 are 1, 3, 5, 15, 23, 29, 69, 87, 115, 145, 345, 435, 667, 2001, 3335, 10005. There are 16 integers that are factors of 10005. The greatest factor of 10005 is 10005.
3. What are the Factors of 10011?
Answer: Factors of 10011 are 1, 3, 47, 71, 141, 213, 3337, 10011. There are 8 integers that are factors of 10011. The greatest factor of 10011 is 10011.
4. How to Find the GCF of 10005 and 10011?
Answer:
Greatest Common Factor of 10005 and 10011 = 3
Step 1: Find the prime factorization of 10005
10005 = 3 x 5 x 23 x 29
Step 2: Find the prime factorization of 10011
10011 = 3 x 47 x 71
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 10005 and 10011 is 3