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 3022, 3028 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3022 and 3028 is 2.
GCF(3022,3028) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3022
2 | 3022 |
1511 | 1511 |
1 |
Prime factors of 3022 are 2,1511. Prime factorization of 3022 in exponential form is:
3022 = 21×15111
Prime Factorization of 3028
2 | 3028 |
2 | 1514 |
757 | 757 |
1 |
Prime factors of 3028 are 2,757. Prime factorization of 3028 in exponential form is:
3028 = 22×7571
∴ So by taking common prime factors GCF of 3022 and 3028 is 2
Factors of 3022
List of positive integer factors of 3022 that divides 3022 without a remainder.
1,2,1511,3022
Factors of 3028
List of positive integer factors of 3028 that divides 3028 without a remainder.
1,2,4,757,1514,3028
Greatest Common Factor
We found the factors and prime factorization of 3022 and 3028. The biggest common factor number is the GCF number.
So the greatest common factor 3022 and 3028 is 2.
Also check out the Least Common Multiple of 3022 and 3028
(i) The GCF of 3022 and 3028 is associative
GCF of 3022 and 3028 = GCF of 3028 and 3022
1. What is the GCF of 3022 and 3028?
Answer: GCF of 3022 and 3028 is 2.
2. What are the Factors of 3022?
Answer: Factors of 3022 are 1, 2, 1511, 3022. There are 4 integers that are factors of 3022. The greatest factor of 3022 is 3022.
3. What are the Factors of 3028?
Answer: Factors of 3028 are 1, 2, 4, 757, 1514, 3028. There are 6 integers that are factors of 3028. The greatest factor of 3028 is 3028.
4. How to Find the GCF of 3022 and 3028?
Answer:
Greatest Common Factor of 3022 and 3028 = 2
Step 1: Find the prime factorization of 3022
3022 = 2 x 1511
Step 2: Find the prime factorization of 3028
3028 = 2 x 2 x 757
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 3022 and 3028 is 2