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 36021, 36027 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 36021 and 36027 is 3.
GCF(36021,36027) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 36021
3 | 36021 |
12007 | 12007 |
1 |
Prime factors of 36021 are 3,12007. Prime factorization of 36021 in exponential form is:
36021 = 31×120071
Prime Factorization of 36027
3 | 36027 |
3 | 12009 |
4003 | 4003 |
1 |
Prime factors of 36027 are 3,4003. Prime factorization of 36027 in exponential form is:
36027 = 32×40031
∴ So by taking common prime factors GCF of 36021 and 36027 is 3
Factors of 36021
List of positive integer factors of 36021 that divides 36021 without a remainder.
1,3,12007,36021
Factors of 36027
List of positive integer factors of 36027 that divides 36027 without a remainder.
1,3,9,4003,12009,36027
Greatest Common Factor
We found the factors and prime factorization of 36021 and 36027. The biggest common factor number is the GCF number.
So the greatest common factor 36021 and 36027 is 3.
Also check out the Least Common Multiple of 36021 and 36027
(i) The GCF of 36021 and 36027 is associative
GCF of 36021 and 36027 = GCF of 36027 and 36021
1. What is the GCF of 36021 and 36027?
Answer: GCF of 36021 and 36027 is 3.
2. What are the Factors of 36021?
Answer: Factors of 36021 are 1, 3, 12007, 36021. There are 4 integers that are factors of 36021. The greatest factor of 36021 is 36021.
3. What are the Factors of 36027?
Answer: Factors of 36027 are 1, 3, 9, 4003, 12009, 36027. There are 6 integers that are factors of 36027. The greatest factor of 36027 is 36027.
4. How to Find the GCF of 36021 and 36027?
Answer:
Greatest Common Factor of 36021 and 36027 = 3
Step 1: Find the prime factorization of 36021
36021 = 3 x 12007
Step 2: Find the prime factorization of 36027
36027 = 3 x 3 x 4003
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 36021 and 36027 is 3