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 10012, 10015 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10012 and 10015 is 1.
GCF(10012,10015) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 10015
5 | 10015 |
2003 | 2003 |
1 |
Prime factors of 10015 are 5,2003. Prime factorization of 10015 in exponential form is:
10015 = 51×20031
∴ So by taking common prime factors GCF of 10012 and 10015 is 1
Factors of 10012
List of positive integer factors of 10012 that divides 10012 without a remainder.
1,2,4,2503,5006,10012
Factors of 10015
List of positive integer factors of 10015 that divides 10015 without a remainder.
1,5,2003,10015
Greatest Common Factor
We found the factors and prime factorization of 10012 and 10015. The biggest common factor number is the GCF number.
So the greatest common factor 10012 and 10015 is 1.
Also check out the Least Common Multiple of 10012 and 10015
(i) The GCF of 10012 and 10015 is associative
GCF of 10012 and 10015 = GCF of 10015 and 10012
1. What is the GCF of 10012 and 10015?
Answer: GCF of 10012 and 10015 is 1.
2. 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.
3. What are the Factors of 10015?
Answer: Factors of 10015 are 1, 5, 2003, 10015. There are 4 integers that are factors of 10015. The greatest factor of 10015 is 10015.
4. How to Find the GCF of 10012 and 10015?
Answer:
Greatest Common Factor of 10012 and 10015 = 1
Step 1: Find the prime factorization of 10012
10012 = 2 x 2 x 2503
Step 2: Find the prime factorization of 10015
10015 = 5 x 2003
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 10012 and 10015 is 1