Greatest Common Factor of 9075 and 9076

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, 9076 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9075 and 9076 is 1.

GCF(9075,9076) = 1

GCF of 9075 and 9076

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

GCF of:
and

Greatest Common Factor of 9075 and 9076

GCF of 9075 and 9076 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 9076


2 9076
2 4538
2269 2269
1

Prime factors of 9076 are 2,2269. Prime factorization of 9076 in exponential form is:

9076 = 22×22691

∴ So by taking common prime factors GCF of 9075 and 9076 is 1

Greatest Common Factor of 9075 and 9076 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 9076

List of positive integer factors of 9076 that divides 9076 without a remainder.

1,2,4,2269,4538,9076

Greatest Common Factor

We found the factors and prime factorization of 9075 and 9076. The biggest common factor number is the GCF number.
So the greatest common factor 9075 and 9076 is 1.

Also check out the Least Common Multiple of 9075 and 9076

Properties of GCF 9075 and 9076

(i) The GCF of 9075 and 9076 is associative

GCF of 9075 and 9076 = GCF of 9076 and 9075

Related Greatest Common Factor of 9075

Related Greatest Common Factor of 9076

Frequently Asked Questions on GCF of 9075 and 9076

1. What is the GCF of 9075 and 9076?

Answer: GCF of 9075 and 9076 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 9076?

Answer: Factors of 9076 are 1, 2, 4, 2269, 4538, 9076. There are 6 integers that are factors of 9076. The greatest factor of 9076 is 9076.

4. How to Find the GCF of 9075 and 9076?

Answer:

Greatest Common Factor of 9075 and 9076 = 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 9076

9076 = 2 x 2 x 2269

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 9076 is 1