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 4010, 4015 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4010 and 4015 is 5.
GCF(4010,4015) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4010
2 | 4010 |
5 | 2005 |
401 | 401 |
1 |
Prime factors of 4010 are 2,5,401. Prime factorization of 4010 in exponential form is:
4010 = 21×51×4011
Prime Factorization of 4015
5 | 4015 |
11 | 803 |
73 | 73 |
1 |
Prime factors of 4015 are 5,11,73. Prime factorization of 4015 in exponential form is:
4015 = 51×111×731
∴ So by taking common prime factors GCF of 4010 and 4015 is 5
Factors of 4010
List of positive integer factors of 4010 that divides 4010 without a remainder.
1,2,5,10,401,802,2005,4010
Factors of 4015
List of positive integer factors of 4015 that divides 4015 without a remainder.
1,5,11,55,73,365,803,4015
Greatest Common Factor
We found the factors and prime factorization of 4010 and 4015. The biggest common factor number is the GCF number.
So the greatest common factor 4010 and 4015 is 5.
Also check out the Least Common Multiple of 4010 and 4015
(i) The GCF of 4010 and 4015 is associative
GCF of 4010 and 4015 = GCF of 4015 and 4010
1. What is the GCF of 4010 and 4015?
Answer: GCF of 4010 and 4015 is 5.
2. What are the Factors of 4010?
Answer: Factors of 4010 are 1, 2, 5, 10, 401, 802, 2005, 4010. There are 8 integers that are factors of 4010. The greatest factor of 4010 is 4010.
3. What are the Factors of 4015?
Answer: Factors of 4015 are 1, 5, 11, 55, 73, 365, 803, 4015. There are 8 integers that are factors of 4015. The greatest factor of 4015 is 4015.
4. How to Find the GCF of 4010 and 4015?
Answer:
Greatest Common Factor of 4010 and 4015 = 5
Step 1: Find the prime factorization of 4010
4010 = 2 x 5 x 401
Step 2: Find the prime factorization of 4015
4015 = 5 x 11 x 73
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 4010 and 4015 is 5