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 9081, 9087 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9081 and 9087 is 3.
GCF(9081,9087) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9081
3 | 9081 |
3 | 3027 |
1009 | 1009 |
1 |
Prime factors of 9081 are 3,1009. Prime factorization of 9081 in exponential form is:
9081 = 32×10091
Prime Factorization of 9087
3 | 9087 |
13 | 3029 |
233 | 233 |
1 |
Prime factors of 9087 are 3,13,233. Prime factorization of 9087 in exponential form is:
9087 = 31×131×2331
∴ So by taking common prime factors GCF of 9081 and 9087 is 3
Factors of 9081
List of positive integer factors of 9081 that divides 9081 without a remainder.
1,3,9,1009,3027,9081
Factors of 9087
List of positive integer factors of 9087 that divides 9087 without a remainder.
1,3,13,39,233,699,3029,9087
Greatest Common Factor
We found the factors and prime factorization of 9081 and 9087. The biggest common factor number is the GCF number.
So the greatest common factor 9081 and 9087 is 3.
Also check out the Least Common Multiple of 9081 and 9087
(i) The GCF of 9081 and 9087 is associative
GCF of 9081 and 9087 = GCF of 9087 and 9081
1. What is the GCF of 9081 and 9087?
Answer: GCF of 9081 and 9087 is 3.
2. What are the Factors of 9081?
Answer: Factors of 9081 are 1, 3, 9, 1009, 3027, 9081. There are 6 integers that are factors of 9081. The greatest factor of 9081 is 9081.
3. What are the Factors of 9087?
Answer: Factors of 9087 are 1, 3, 13, 39, 233, 699, 3029, 9087. There are 8 integers that are factors of 9087. The greatest factor of 9087 is 9087.
4. How to Find the GCF of 9081 and 9087?
Answer:
Greatest Common Factor of 9081 and 9087 = 3
Step 1: Find the prime factorization of 9081
9081 = 3 x 3 x 1009
Step 2: Find the prime factorization of 9087
9087 = 3 x 13 x 233
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 9081 and 9087 is 3