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, 9071 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9069 and 9071 is 1.
GCF(9069,9071) = 1
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 9071
47 | 9071 |
193 | 193 |
1 |
Prime factors of 9071 are 47,193. Prime factorization of 9071 in exponential form is:
9071 = 471×1931
∴ So by taking common prime factors GCF of 9069 and 9071 is 1
Factors of 9069
List of positive integer factors of 9069 that divides 9069 without a remainder.
1,3,3023,9069
Factors of 9071
List of positive integer factors of 9071 that divides 9071 without a remainder.
1,47,193,9071
Greatest Common Factor
We found the factors and prime factorization of 9069 and 9071. The biggest common factor number is the GCF number.
So the greatest common factor 9069 and 9071 is 1.
Also check out the Least Common Multiple of 9069 and 9071
(i) The GCF of 9069 and 9071 is associative
GCF of 9069 and 9071 = GCF of 9071 and 9069
1. What is the GCF of 9069 and 9071?
Answer: GCF of 9069 and 9071 is 1.
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 9071?
Answer: Factors of 9071 are 1, 47, 193, 9071. There are 4 integers that are factors of 9071. The greatest factor of 9071 is 9071.
4. How to Find the GCF of 9069 and 9071?
Answer:
Greatest Common Factor of 9069 and 9071 = 1
Step 1: Find the prime factorization of 9069
9069 = 3 x 3023
Step 2: Find the prime factorization of 9071
9071 = 47 x 193
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 9069 and 9071 is 1