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 9021, 9028 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9021 and 9028 is 1.
GCF(9021,9028) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9021
3 | 9021 |
31 | 3007 |
97 | 97 |
1 |
Prime factors of 9021 are 3,31,97. Prime factorization of 9021 in exponential form is:
9021 = 31×311×971
Prime Factorization of 9028
2 | 9028 |
2 | 4514 |
37 | 2257 |
61 | 61 |
1 |
Prime factors of 9028 are 2,37,61. Prime factorization of 9028 in exponential form is:
9028 = 22×371×611
∴ So by taking common prime factors GCF of 9021 and 9028 is 1
Factors of 9021
List of positive integer factors of 9021 that divides 9021 without a remainder.
1,3,31,93,97,291,3007,9021
Factors of 9028
List of positive integer factors of 9028 that divides 9028 without a remainder.
1,2,4,37,61,74,122,148,244,2257,4514,9028
Greatest Common Factor
We found the factors and prime factorization of 9021 and 9028. The biggest common factor number is the GCF number.
So the greatest common factor 9021 and 9028 is 1.
Also check out the Least Common Multiple of 9021 and 9028
(i) The GCF of 9021 and 9028 is associative
GCF of 9021 and 9028 = GCF of 9028 and 9021
1. What is the GCF of 9021 and 9028?
Answer: GCF of 9021 and 9028 is 1.
2. What are the Factors of 9021?
Answer: Factors of 9021 are 1, 3, 31, 93, 97, 291, 3007, 9021. There are 8 integers that are factors of 9021. The greatest factor of 9021 is 9021.
3. What are the Factors of 9028?
Answer: Factors of 9028 are 1, 2, 4, 37, 61, 74, 122, 148, 244, 2257, 4514, 9028. There are 12 integers that are factors of 9028. The greatest factor of 9028 is 9028.
4. How to Find the GCF of 9021 and 9028?
Answer:
Greatest Common Factor of 9021 and 9028 = 1
Step 1: Find the prime factorization of 9021
9021 = 3 x 31 x 97
Step 2: Find the prime factorization of 9028
9028 = 2 x 2 x 37 x 61
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 9021 and 9028 is 1