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 36010, 36014 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 36010 and 36014 is 2.
GCF(36010,36014) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 36014
2 | 36014 |
11 | 18007 |
1637 | 1637 |
1 |
Prime factors of 36014 are 2,11,1637. Prime factorization of 36014 in exponential form is:
36014 = 21×111×16371
∴ So by taking common prime factors GCF of 36010 and 36014 is 2
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
Factors of 36014
List of positive integer factors of 36014 that divides 36014 without a remainder.
1,2,11,22,1637,3274,18007,36014
Greatest Common Factor
We found the factors and prime factorization of 36010 and 36014. The biggest common factor number is the GCF number.
So the greatest common factor 36010 and 36014 is 2.
Also check out the Least Common Multiple of 36010 and 36014
(i) The GCF of 36010 and 36014 is associative
GCF of 36010 and 36014 = GCF of 36014 and 36010
1. What is the GCF of 36010 and 36014?
Answer: GCF of 36010 and 36014 is 2.
2. 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.
3. What are the Factors of 36014?
Answer: Factors of 36014 are 1, 2, 11, 22, 1637, 3274, 18007, 36014. There are 8 integers that are factors of 36014. The greatest factor of 36014 is 36014.
4. How to Find the GCF of 36010 and 36014?
Answer:
Greatest Common Factor of 36010 and 36014 = 2
Step 1: Find the prime factorization of 36010
36010 = 2 x 5 x 13 x 277
Step 2: Find the prime factorization of 36014
36014 = 2 x 11 x 1637
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 36010 and 36014 is 2