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 36012, 36019 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 36012 and 36019 is 1.
GCF(36012,36019) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 36012
2 | 36012 |
2 | 18006 |
3 | 9003 |
3001 | 3001 |
1 |
Prime factors of 36012 are 2,3,3001. Prime factorization of 36012 in exponential form is:
36012 = 22×31×30011
Prime Factorization of 36019
181 | 36019 |
199 | 199 |
1 |
Prime factors of 36019 are 181,199. Prime factorization of 36019 in exponential form is:
36019 = 1811×1991
∴ So by taking common prime factors GCF of 36012 and 36019 is 1
Factors of 36012
List of positive integer factors of 36012 that divides 36012 without a remainder.
1,2,3,4,6,12,3001,6002,9003,12004,18006,36012
Factors of 36019
List of positive integer factors of 36019 that divides 36019 without a remainder.
1,181,199,36019
Greatest Common Factor
We found the factors and prime factorization of 36012 and 36019. The biggest common factor number is the GCF number.
So the greatest common factor 36012 and 36019 is 1.
Also check out the Least Common Multiple of 36012 and 36019
(i) The GCF of 36012 and 36019 is associative
GCF of 36012 and 36019 = GCF of 36019 and 36012
1. What is the GCF of 36012 and 36019?
Answer: GCF of 36012 and 36019 is 1.
2. What are the Factors of 36012?
Answer: Factors of 36012 are 1, 2, 3, 4, 6, 12, 3001, 6002, 9003, 12004, 18006, 36012. There are 12 integers that are factors of 36012. The greatest factor of 36012 is 36012.
3. What are the Factors of 36019?
Answer: Factors of 36019 are 1, 181, 199, 36019. There are 4 integers that are factors of 36019. The greatest factor of 36019 is 36019.
4. How to Find the GCF of 36012 and 36019?
Answer:
Greatest Common Factor of 36012 and 36019 = 1
Step 1: Find the prime factorization of 36012
36012 = 2 x 2 x 3 x 3001
Step 2: Find the prime factorization of 36019
36019 = 181 x 199
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 36012 and 36019 is 1