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, 10012 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10011 and 10012 is 1.
GCF(10011,10012) = 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 10012
2 | 10012 |
2 | 5006 |
2503 | 2503 |
1 |
Prime factors of 10012 are 2,2503. Prime factorization of 10012 in exponential form is:
10012 = 22×25031
∴ So by taking common prime factors GCF of 10011 and 10012 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 10012
List of positive integer factors of 10012 that divides 10012 without a remainder.
1,2,4,2503,5006,10012
Greatest Common Factor
We found the factors and prime factorization of 10011 and 10012. The biggest common factor number is the GCF number.
So the greatest common factor 10011 and 10012 is 1.
Also check out the Least Common Multiple of 10011 and 10012
(i) The GCF of 10011 and 10012 is associative
GCF of 10011 and 10012 = GCF of 10012 and 10011
1. What is the GCF of 10011 and 10012?
Answer: GCF of 10011 and 10012 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 10012?
Answer: Factors of 10012 are 1, 2, 4, 2503, 5006, 10012. There are 6 integers that are factors of 10012. The greatest factor of 10012 is 10012.
4. How to Find the GCF of 10011 and 10012?
Answer:
Greatest Common Factor of 10011 and 10012 = 1
Step 1: Find the prime factorization of 10011
10011 = 3 x 47 x 71
Step 2: Find the prime factorization of 10012
10012 = 2 x 2 x 2503
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 10012 is 1