Greatest Common Factor of 9075 and 9080

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, 9080 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9075 and 9080 is 5.

GCF(9075,9080) = 5

GCF of 9075 and 9080

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

GCF of:
and

Greatest Common Factor of 9075 and 9080

GCF of 9075 and 9080 is 5

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 9080


2 9080
2 4540
2 2270
5 1135
227 227
1

Prime factors of 9080 are 2,5,227. Prime factorization of 9080 in exponential form is:

9080 = 23×51×2271

∴ So by taking common prime factors GCF of 9075 and 9080 is 5

Greatest Common Factor of 9075 and 9080 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 9080

List of positive integer factors of 9080 that divides 9080 without a remainder.

1,2,4,5,8,10,20,40,227,454,908,1135,1816,2270,4540,9080

Greatest Common Factor

We found the factors and prime factorization of 9075 and 9080. The biggest common factor number is the GCF number.
So the greatest common factor 9075 and 9080 is 5.

Also check out the Least Common Multiple of 9075 and 9080

Properties of GCF 9075 and 9080

(i) The GCF of 9075 and 9080 is associative

GCF of 9075 and 9080 = GCF of 9080 and 9075

Related Greatest Common Factor of 9075

Related Greatest Common Factor of 9080

Frequently Asked Questions on GCF of 9075 and 9080

1. What is the GCF of 9075 and 9080?

Answer: GCF of 9075 and 9080 is 5.

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 9080?

Answer: Factors of 9080 are 1, 2, 4, 5, 8, 10, 20, 40, 227, 454, 908, 1135, 1816, 2270, 4540, 9080. There are 16 integers that are factors of 9080. The greatest factor of 9080 is 9080.

4. How to Find the GCF of 9075 and 9080?

Answer:

Greatest Common Factor of 9075 and 9080 = 5

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 9080

9080 = 2 x 2 x 2 x 5 x 227

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 9075 and 9080 is 5