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, 9069 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9065 and 9069 is 1.
GCF(9065,9069) = 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 9069
3 | 9069 |
3023 | 3023 |
1 |
Prime factors of 9069 are 3,3023. Prime factorization of 9069 in exponential form is:
9069 = 31×30231
∴ So by taking common prime factors GCF of 9065 and 9069 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 9069
List of positive integer factors of 9069 that divides 9069 without a remainder.
1,3,3023,9069
Greatest Common Factor
We found the factors and prime factorization of 9065 and 9069. The biggest common factor number is the GCF number.
So the greatest common factor 9065 and 9069 is 1.
Also check out the Least Common Multiple of 9065 and 9069
(i) The GCF of 9065 and 9069 is associative
GCF of 9065 and 9069 = GCF of 9069 and 9065
1. What is the GCF of 9065 and 9069?
Answer: GCF of 9065 and 9069 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 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.
4. How to Find the GCF of 9065 and 9069?
Answer:
Greatest Common Factor of 9065 and 9069 = 1
Step 1: Find the prime factorization of 9065
9065 = 5 x 7 x 7 x 37
Step 2: Find the prime factorization of 9069
9069 = 3 x 3023
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 9069 is 1