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 9068, 9075 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9068 and 9075 is 1.
GCF(9068,9075) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9068
2 | 9068 |
2 | 4534 |
2267 | 2267 |
1 |
Prime factors of 9068 are 2,2267. Prime factorization of 9068 in exponential form is:
9068 = 22×22671
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 9068 and 9075 is 1
Factors of 9068
List of positive integer factors of 9068 that divides 9068 without a remainder.
1,2,4,2267,4534,9068
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 9068 and 9075. The biggest common factor number is the GCF number.
So the greatest common factor 9068 and 9075 is 1.
Also check out the Least Common Multiple of 9068 and 9075
(i) The GCF of 9068 and 9075 is associative
GCF of 9068 and 9075 = GCF of 9075 and 9068
1. What is the GCF of 9068 and 9075?
Answer: GCF of 9068 and 9075 is 1.
2. What are the Factors of 9068?
Answer: Factors of 9068 are 1, 2, 4, 2267, 4534, 9068. There are 6 integers that are factors of 9068. The greatest factor of 9068 is 9068.
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 9068 and 9075?
Answer:
Greatest Common Factor of 9068 and 9075 = 1
Step 1: Find the prime factorization of 9068
9068 = 2 x 2 x 2267
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 = = 1
Step 4: Therefore, the greatest common factor of 9068 and 9075 is 1