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 10006, 10013 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10006 and 10013 is 1.
GCF(10006,10013) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10006
2 | 10006 |
5003 | 5003 |
1 |
Prime factors of 10006 are 2,5003. Prime factorization of 10006 in exponential form is:
10006 = 21×50031
Prime Factorization of 10013
17 | 10013 |
19 | 589 |
31 | 31 |
1 |
Prime factors of 10013 are 17,19,31. Prime factorization of 10013 in exponential form is:
10013 = 171×191×311
∴ So by taking common prime factors GCF of 10006 and 10013 is 1
Factors of 10006
List of positive integer factors of 10006 that divides 10006 without a remainder.
1,2,5003,10006
Factors of 10013
List of positive integer factors of 10013 that divides 10013 without a remainder.
1,17,19,31,323,527,589,10013
Greatest Common Factor
We found the factors and prime factorization of 10006 and 10013. The biggest common factor number is the GCF number.
So the greatest common factor 10006 and 10013 is 1.
Also check out the Least Common Multiple of 10006 and 10013
(i) The GCF of 10006 and 10013 is associative
GCF of 10006 and 10013 = GCF of 10013 and 10006
1. What is the GCF of 10006 and 10013?
Answer: GCF of 10006 and 10013 is 1.
2. What are the Factors of 10006?
Answer: Factors of 10006 are 1, 2, 5003, 10006. There are 4 integers that are factors of 10006. The greatest factor of 10006 is 10006.
3. What are the Factors of 10013?
Answer: Factors of 10013 are 1, 17, 19, 31, 323, 527, 589, 10013. There are 8 integers that are factors of 10013. The greatest factor of 10013 is 10013.
4. How to Find the GCF of 10006 and 10013?
Answer:
Greatest Common Factor of 10006 and 10013 = 1
Step 1: Find the prime factorization of 10006
10006 = 2 x 5003
Step 2: Find the prime factorization of 10013
10013 = 17 x 19 x 31
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 10006 and 10013 is 1