Greatest Common Factor of 9165 and 9170

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 9165, 9170 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9165 and 9170 is 5.

GCF(9165,9170) = 5

GCF of 9165 and 9170

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

GCF of:
and

Greatest Common Factor of 9165 and 9170

GCF of 9165 and 9170 is 5

Prime Factorization of 9165


3 9165
5 3055
13 611
47 47
1

Prime factors of 9165 are 3,5,13,47. Prime factorization of 9165 in exponential form is:

9165 = 31×51×131×471

Prime Factorization of 9170


2 9170
5 4585
7 917
131 131
1

Prime factors of 9170 are 2,5,7,131. Prime factorization of 9170 in exponential form is:

9170 = 21×51×71×1311

∴ So by taking common prime factors GCF of 9165 and 9170 is 5

Greatest Common Factor of 9165 and 9170 by matching factors method

Factors of 9165

List of positive integer factors of 9165 that divides 9165 without a remainder.

1,3,5,13,15,39,47,65,141,195,235,611,705,1833,3055,9165

Factors of 9170

List of positive integer factors of 9170 that divides 9170 without a remainder.

1,2,5,7,10,14,35,70,131,262,655,917,1310,1834,4585,9170

Greatest Common Factor

We found the factors and prime factorization of 9165 and 9170. The biggest common factor number is the GCF number.
So the greatest common factor 9165 and 9170 is 5.

Also check out the Least Common Multiple of 9165 and 9170

Properties of GCF 9165 and 9170

(i) The GCF of 9165 and 9170 is associative

GCF of 9165 and 9170 = GCF of 9170 and 9165

Related Greatest Common Factor of 9165

Related Greatest Common Factor of 9170

Frequently Asked Questions on GCF of 9165 and 9170

1. What is the GCF of 9165 and 9170?

Answer: GCF of 9165 and 9170 is 5.

2. What are the Factors of 9165?

Answer: Factors of 9165 are 1, 3, 5, 13, 15, 39, 47, 65, 141, 195, 235, 611, 705, 1833, 3055, 9165. There are 16 integers that are factors of 9165. The greatest factor of 9165 is 9165.

3. What are the Factors of 9170?

Answer: Factors of 9170 are 1, 2, 5, 7, 10, 14, 35, 70, 131, 262, 655, 917, 1310, 1834, 4585, 9170. There are 16 integers that are factors of 9170. The greatest factor of 9170 is 9170.

4. How to Find the GCF of 9165 and 9170?

Answer:

Greatest Common Factor of 9165 and 9170 = 5

Step 1: Find the prime factorization of 9165

9165 = 3 x 5 x 13 x 47

Step 2: Find the prime factorization of 9170

9170 = 2 x 5 x 7 x 131

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 9165 and 9170 is 5