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 9069, 9075 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9069 and 9075 is 3.
GCF(9069,9075) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9069
3 | 9069 |
3023 | 3023 |
1 |
Prime factors of 9069 are 3,3023. Prime factorization of 9069 in exponential form is:
9069 = 31×30231
Prime Factorization of 9075
3 | 9075 |
5 | 3025 |
5 | 605 |
11 | 121 |
11 | 11 |
1 |
Prime factors of 9075 are 3,5,11. Prime factorization of 9075 in exponential form is:
9075 = 31×52×112
∴ So by taking common prime factors GCF of 9069 and 9075 is 3
Factors of 9069
List of positive integer factors of 9069 that divides 9069 without a remainder.
1,3,3023,9069
Factors of 9075
List of positive integer factors of 9075 that divides 9075 without a remainder.
1,3,5,11,15,25,33,55,75,121,165,275,363,605,825,1815,3025,9075
Greatest Common Factor
We found the factors and prime factorization of 9069 and 9075. The biggest common factor number is the GCF number.
So the greatest common factor 9069 and 9075 is 3.
Also check out the Least Common Multiple of 9069 and 9075
(i) The GCF of 9069 and 9075 is associative
GCF of 9069 and 9075 = GCF of 9075 and 9069
1. What is the GCF of 9069 and 9075?
Answer: GCF of 9069 and 9075 is 3.
2. What are the Factors of 9069?
Answer: Factors of 9069 are 1, 3, 3023, 9069. There are 4 integers that are factors of 9069. The greatest factor of 9069 is 9069.
3. What are the Factors of 9075?
Answer: Factors of 9075 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 121, 165, 275, 363, 605, 825, 1815, 3025, 9075. There are 18 integers that are factors of 9075. The greatest factor of 9075 is 9075.
4. How to Find the GCF of 9069 and 9075?
Answer:
Greatest Common Factor of 9069 and 9075 = 3
Step 1: Find the prime factorization of 9069
9069 = 3 x 3023
Step 2: Find the prime factorization of 9075
9075 = 3 x 5 x 5 x 11 x 11
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 9069 and 9075 is 3