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 9065, 9068 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9065 and 9068 is 1.
GCF(9065,9068) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9065
5 | 9065 |
7 | 1813 |
7 | 259 |
37 | 37 |
1 |
Prime factors of 9065 are 5,7,37. Prime factorization of 9065 in exponential form is:
9065 = 51×72×371
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
∴ So by taking common prime factors GCF of 9065 and 9068 is 1
Factors of 9065
List of positive integer factors of 9065 that divides 9065 without a remainder.
1,5,7,35,37,49,185,245,259,1295,1813,9065
Factors of 9068
List of positive integer factors of 9068 that divides 9068 without a remainder.
1,2,4,2267,4534,9068
Greatest Common Factor
We found the factors and prime factorization of 9065 and 9068. The biggest common factor number is the GCF number.
So the greatest common factor 9065 and 9068 is 1.
Also check out the Least Common Multiple of 9065 and 9068
(i) The GCF of 9065 and 9068 is associative
GCF of 9065 and 9068 = GCF of 9068 and 9065
1. What is the GCF of 9065 and 9068?
Answer: GCF of 9065 and 9068 is 1.
2. What are the Factors of 9065?
Answer: Factors of 9065 are 1, 5, 7, 35, 37, 49, 185, 245, 259, 1295, 1813, 9065. There are 12 integers that are factors of 9065. The greatest factor of 9065 is 9065.
3. 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.
4. How to Find the GCF of 9065 and 9068?
Answer:
Greatest Common Factor of 9065 and 9068 = 1
Step 1: Find the prime factorization of 9065
9065 = 5 x 7 x 7 x 37
Step 2: Find the prime factorization of 9068
9068 = 2 x 2 x 2267
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 9065 and 9068 is 1