Greatest Common Factor of 9075 and 9077

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, 9077 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9075 and 9077 is 1.

GCF(9075,9077) = 1

GCF of 9075 and 9077

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

GCF of:
and

Greatest Common Factor of 9075 and 9077

GCF of 9075 and 9077 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 9077


29 9077
313 313
1

Prime factors of 9077 are 29,313. Prime factorization of 9077 in exponential form is:

9077 = 291×3131

∴ So by taking common prime factors GCF of 9075 and 9077 is 1

Greatest Common Factor of 9075 and 9077 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 9077

List of positive integer factors of 9077 that divides 9077 without a remainder.

1,29,313,9077

Greatest Common Factor

We found the factors and prime factorization of 9075 and 9077. The biggest common factor number is the GCF number.
So the greatest common factor 9075 and 9077 is 1.

Also check out the Least Common Multiple of 9075 and 9077

Properties of GCF 9075 and 9077

(i) The GCF of 9075 and 9077 is associative

GCF of 9075 and 9077 = GCF of 9077 and 9075

Related Greatest Common Factor of 9075

Related Greatest Common Factor of 9077

Frequently Asked Questions on GCF of 9075 and 9077

1. What is the GCF of 9075 and 9077?

Answer: GCF of 9075 and 9077 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 9077?

Answer: Factors of 9077 are 1, 29, 313, 9077. There are 4 integers that are factors of 9077. The greatest factor of 9077 is 9077.

4. How to Find the GCF of 9075 and 9077?

Answer:

Greatest Common Factor of 9075 and 9077 = 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 9077

9077 = 29 x 313

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 9077 is 1