Greatest Common Factor of 7165 and 7170

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 7165, 7170 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7165 and 7170 is 5.

GCF(7165,7170) = 5

GCF of 7165 and 7170

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

GCF of:
and

Greatest Common Factor of 7165 and 7170

GCF of 7165 and 7170 is 5

Prime Factorization of 7165


5 7165
1433 1433
1

Prime factors of 7165 are 5,1433. Prime factorization of 7165 in exponential form is:

7165 = 51×14331

Prime Factorization of 7170


2 7170
3 3585
5 1195
239 239
1

Prime factors of 7170 are 2,3,5,239. Prime factorization of 7170 in exponential form is:

7170 = 21×31×51×2391

∴ So by taking common prime factors GCF of 7165 and 7170 is 5

Greatest Common Factor of 7165 and 7170 by matching factors method

Factors of 7165

List of positive integer factors of 7165 that divides 7165 without a remainder.

1,5,1433,7165

Factors of 7170

List of positive integer factors of 7170 that divides 7170 without a remainder.

1,2,3,5,6,10,15,30,239,478,717,1195,1434,2390,3585,7170

Greatest Common Factor

We found the factors and prime factorization of 7165 and 7170. The biggest common factor number is the GCF number.
So the greatest common factor 7165 and 7170 is 5.

Also check out the Least Common Multiple of 7165 and 7170

Properties of GCF 7165 and 7170

(i) The GCF of 7165 and 7170 is associative

GCF of 7165 and 7170 = GCF of 7170 and 7165

Related Greatest Common Factor of 7165

Related Greatest Common Factor of 7170

Frequently Asked Questions on GCF of 7165 and 7170

1. What is the GCF of 7165 and 7170?

Answer: GCF of 7165 and 7170 is 5.

2. What are the Factors of 7165?

Answer: Factors of 7165 are 1, 5, 1433, 7165. There are 4 integers that are factors of 7165. The greatest factor of 7165 is 7165.

3. What are the Factors of 7170?

Answer: Factors of 7170 are 1, 2, 3, 5, 6, 10, 15, 30, 239, 478, 717, 1195, 1434, 2390, 3585, 7170. There are 16 integers that are factors of 7170. The greatest factor of 7170 is 7170.

4. How to Find the GCF of 7165 and 7170?

Answer:

Greatest Common Factor of 7165 and 7170 = 5

Step 1: Find the prime factorization of 7165

7165 = 5 x 1433

Step 2: Find the prime factorization of 7170

7170 = 2 x 3 x 5 x 239

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 7165 and 7170 is 5