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 10011, 10018 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10011 and 10018 is 1.
GCF(10011,10018) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 10018
2 | 10018 |
5009 | 5009 |
1 |
Prime factors of 10018 are 2,5009. Prime factorization of 10018 in exponential form is:
10018 = 21×50091
∴ So by taking common prime factors GCF of 10011 and 10018 is 1
Factors of 10011
List of positive integer factors of 10011 that divides 10011 without a remainder.
1,3,47,71,141,213,3337,10011
Factors of 10018
List of positive integer factors of 10018 that divides 10018 without a remainder.
1,2,5009,10018
Greatest Common Factor
We found the factors and prime factorization of 10011 and 10018. The biggest common factor number is the GCF number.
So the greatest common factor 10011 and 10018 is 1.
Also check out the Least Common Multiple of 10011 and 10018
(i) The GCF of 10011 and 10018 is associative
GCF of 10011 and 10018 = GCF of 10018 and 10011
1. What is the GCF of 10011 and 10018?
Answer: GCF of 10011 and 10018 is 1.
2. 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.
3. What are the Factors of 10018?
Answer: Factors of 10018 are 1, 2, 5009, 10018. There are 4 integers that are factors of 10018. The greatest factor of 10018 is 10018.
4. How to Find the GCF of 10011 and 10018?
Answer:
Greatest Common Factor of 10011 and 10018 = 1
Step 1: Find the prime factorization of 10011
10011 = 3 x 47 x 71
Step 2: Find the prime factorization of 10018
10018 = 2 x 5009
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 10011 and 10018 is 1