Greatest Common Factor of 9075 and 9083

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 9075, 9083 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9075 and 9083 is 1.

GCF(9075,9083) = 1

GCF of 9075 and 9083

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

GCF of:
and

Greatest Common Factor of 9075 and 9083

GCF of 9075 and 9083 is 1

Prime Factorization of 9075


3 9075
5 3025
5 605
11 121
11 11
1

Prime factors of 9075 are 3,5,11. Prime factorization of 9075 in exponential form is:

9075 = 31×52×112

Prime Factorization of 9083


31 9083
293 293
1

Prime factors of 9083 are 31,293. Prime factorization of 9083 in exponential form is:

9083 = 311×2931

∴ So by taking common prime factors GCF of 9075 and 9083 is 1

Greatest Common Factor of 9075 and 9083 by matching factors method

Factors of 9075

List of positive integer factors of 9075 that divides 9075 without a remainder.

1,3,5,11,15,25,33,55,75,121,165,275,363,605,825,1815,3025,9075

Factors of 9083

List of positive integer factors of 9083 that divides 9083 without a remainder.

1,31,293,9083

Greatest Common Factor

We found the factors and prime factorization of 9075 and 9083. The biggest common factor number is the GCF number.
So the greatest common factor 9075 and 9083 is 1.

Also check out the Least Common Multiple of 9075 and 9083

Properties of GCF 9075 and 9083

(i) The GCF of 9075 and 9083 is associative

GCF of 9075 and 9083 = GCF of 9083 and 9075

Related Greatest Common Factor of 9075

Related Greatest Common Factor of 9083

Frequently Asked Questions on GCF of 9075 and 9083

1. What is the GCF of 9075 and 9083?

Answer: GCF of 9075 and 9083 is 1.

2. What are the Factors of 9075?

Answer: Factors of 9075 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 121, 165, 275, 363, 605, 825, 1815, 3025, 9075. There are 18 integers that are factors of 9075. The greatest factor of 9075 is 9075.

3. What are the Factors of 9083?

Answer: Factors of 9083 are 1, 31, 293, 9083. There are 4 integers that are factors of 9083. The greatest factor of 9083 is 9083.

4. How to Find the GCF of 9075 and 9083?

Answer:

Greatest Common Factor of 9075 and 9083 = 1

Step 1: Find the prime factorization of 9075

9075 = 3 x 5 x 5 x 11 x 11

Step 2: Find the prime factorization of 9083

9083 = 31 x 293

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 9075 and 9083 is 1