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 6022, 6028 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6022 and 6028 is 2.
GCF(6022,6028) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6022
2 | 6022 |
3011 | 3011 |
1 |
Prime factors of 6022 are 2,3011. Prime factorization of 6022 in exponential form is:
6022 = 21×30111
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 6022 and 6028 is 2
Factors of 6022
List of positive integer factors of 6022 that divides 6022 without a remainder.
1,2,3011,6022
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 6022 and 6028. The biggest common factor number is the GCF number.
So the greatest common factor 6022 and 6028 is 2.
Also check out the Least Common Multiple of 6022 and 6028
(i) The GCF of 6022 and 6028 is associative
GCF of 6022 and 6028 = GCF of 6028 and 6022
1. What is the GCF of 6022 and 6028?
Answer: GCF of 6022 and 6028 is 2.
2. What are the Factors of 6022?
Answer: Factors of 6022 are 1, 2, 3011, 6022. There are 4 integers that are factors of 6022. The greatest factor of 6022 is 6022.
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 6022 and 6028?
Answer:
Greatest Common Factor of 6022 and 6028 = 2
Step 1: Find the prime factorization of 6022
6022 = 2 x 3011
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 = 2
Step 4: Therefore, the greatest common factor of 6022 and 6028 is 2