Greatest Common Factor of 9081 and 9087

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

GCF of 9081 and 9087

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 9081 and 9087

GCF of 9081 and 9087 is 3

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

Greatest Common Factor of 9081 and 9087 by matching factors method

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

Properties of GCF 9081 and 9087

(i) The GCF of 9081 and 9087 is associative

GCF of 9081 and 9087 = GCF of 9087 and 9081

Frequently Asked Questions on GCF of 9081 and 9087

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