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 6021, 6027 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6021 and 6027 is 3.
GCF(6021,6027) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6021
3 | 6021 |
3 | 2007 |
3 | 669 |
223 | 223 |
1 |
Prime factors of 6021 are 3,223. Prime factorization of 6021 in exponential form is:
6021 = 33×2231
Prime Factorization of 6027
3 | 6027 |
7 | 2009 |
7 | 287 |
41 | 41 |
1 |
Prime factors of 6027 are 3,7,41. Prime factorization of 6027 in exponential form is:
6027 = 31×72×411
∴ So by taking common prime factors GCF of 6021 and 6027 is 3
Factors of 6021
List of positive integer factors of 6021 that divides 6021 without a remainder.
1,3,9,27,223,669,2007,6021
Factors of 6027
List of positive integer factors of 6027 that divides 6027 without a remainder.
1,3,7,21,41,49,123,147,287,861,2009,6027
Greatest Common Factor
We found the factors and prime factorization of 6021 and 6027. The biggest common factor number is the GCF number.
So the greatest common factor 6021 and 6027 is 3.
Also check out the Least Common Multiple of 6021 and 6027
(i) The GCF of 6021 and 6027 is associative
GCF of 6021 and 6027 = GCF of 6027 and 6021
1. What is the GCF of 6021 and 6027?
Answer: GCF of 6021 and 6027 is 3.
2. What are the Factors of 6021?
Answer: Factors of 6021 are 1, 3, 9, 27, 223, 669, 2007, 6021. There are 8 integers that are factors of 6021. The greatest factor of 6021 is 6021.
3. What are the Factors of 6027?
Answer: Factors of 6027 are 1, 3, 7, 21, 41, 49, 123, 147, 287, 861, 2009, 6027. There are 12 integers that are factors of 6027. The greatest factor of 6027 is 6027.
4. How to Find the GCF of 6021 and 6027?
Answer:
Greatest Common Factor of 6021 and 6027 = 3
Step 1: Find the prime factorization of 6021
6021 = 3 x 3 x 3 x 223
Step 2: Find the prime factorization of 6027
6027 = 3 x 7 x 7 x 41
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 6021 and 6027 is 3