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, 6028 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6021 and 6028 is 1.
GCF(6021,6028) = 1
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 6028
2 | 6028 |
2 | 3014 |
11 | 1507 |
137 | 137 |
1 |
Prime factors of 6028 are 2,11,137. Prime factorization of 6028 in exponential form is:
6028 = 22×111×1371
∴ So by taking common prime factors GCF of 6021 and 6028 is 1
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 6028
List of positive integer factors of 6028 that divides 6028 without a remainder.
1,2,4,11,22,44,137,274,548,1507,3014,6028
Greatest Common Factor
We found the factors and prime factorization of 6021 and 6028. The biggest common factor number is the GCF number.
So the greatest common factor 6021 and 6028 is 1.
Also check out the Least Common Multiple of 6021 and 6028
(i) The GCF of 6021 and 6028 is associative
GCF of 6021 and 6028 = GCF of 6028 and 6021
1. What is the GCF of 6021 and 6028?
Answer: GCF of 6021 and 6028 is 1.
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 6028?
Answer: Factors of 6028 are 1, 2, 4, 11, 22, 44, 137, 274, 548, 1507, 3014, 6028. There are 12 integers that are factors of 6028. The greatest factor of 6028 is 6028.
4. How to Find the GCF of 6021 and 6028?
Answer:
Greatest Common Factor of 6021 and 6028 = 1
Step 1: Find the prime factorization of 6021
6021 = 3 x 3 x 3 x 223
Step 2: Find the prime factorization of 6028
6028 = 2 x 2 x 11 x 137
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 6021 and 6028 is 1