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 36004, 36010 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 36004 and 36010 is 2.
GCF(36004,36010) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 36004
2 | 36004 |
2 | 18002 |
9001 | 9001 |
1 |
Prime factors of 36004 are 2,9001. Prime factorization of 36004 in exponential form is:
36004 = 22×90011
Prime Factorization of 36010
2 | 36010 |
5 | 18005 |
13 | 3601 |
277 | 277 |
1 |
Prime factors of 36010 are 2,5,13,277. Prime factorization of 36010 in exponential form is:
36010 = 21×51×131×2771
∴ So by taking common prime factors GCF of 36004 and 36010 is 2
Factors of 36004
List of positive integer factors of 36004 that divides 36004 without a remainder.
1,2,4,9001,18002,36004
Factors of 36010
List of positive integer factors of 36010 that divides 36010 without a remainder.
1,2,5,10,13,26,65,130,277,554,1385,2770,3601,7202,18005,36010
Greatest Common Factor
We found the factors and prime factorization of 36004 and 36010. The biggest common factor number is the GCF number.
So the greatest common factor 36004 and 36010 is 2.
Also check out the Least Common Multiple of 36004 and 36010
(i) The GCF of 36004 and 36010 is associative
GCF of 36004 and 36010 = GCF of 36010 and 36004
1. What is the GCF of 36004 and 36010?
Answer: GCF of 36004 and 36010 is 2.
2. What are the Factors of 36004?
Answer: Factors of 36004 are 1, 2, 4, 9001, 18002, 36004. There are 6 integers that are factors of 36004. The greatest factor of 36004 is 36004.
3. What are the Factors of 36010?
Answer: Factors of 36010 are 1, 2, 5, 10, 13, 26, 65, 130, 277, 554, 1385, 2770, 3601, 7202, 18005, 36010. There are 16 integers that are factors of 36010. The greatest factor of 36010 is 36010.
4. How to Find the GCF of 36004 and 36010?
Answer:
Greatest Common Factor of 36004 and 36010 = 2
Step 1: Find the prime factorization of 36004
36004 = 2 x 2 x 9001
Step 2: Find the prime factorization of 36010
36010 = 2 x 5 x 13 x 277
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 36004 and 36010 is 2