Greatest Common Factor of 8165 and 8170

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 8165, 8170 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8165 and 8170 is 5.

GCF(8165,8170) = 5

GCF of 8165 and 8170

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

GCF of:
and

Greatest Common Factor of 8165 and 8170

GCF of 8165 and 8170 is 5

Prime Factorization of 8165


5 8165
23 1633
71 71
1

Prime factors of 8165 are 5,23,71. Prime factorization of 8165 in exponential form is:

8165 = 51×231×711

Prime Factorization of 8170


2 8170
5 4085
19 817
43 43
1

Prime factors of 8170 are 2,5,19,43. Prime factorization of 8170 in exponential form is:

8170 = 21×51×191×431

∴ So by taking common prime factors GCF of 8165 and 8170 is 5

Greatest Common Factor of 8165 and 8170 by matching factors method

Factors of 8165

List of positive integer factors of 8165 that divides 8165 without a remainder.

1,5,23,71,115,355,1633,8165

Factors of 8170

List of positive integer factors of 8170 that divides 8170 without a remainder.

1,2,5,10,19,38,43,86,95,190,215,430,817,1634,4085,8170

Greatest Common Factor

We found the factors and prime factorization of 8165 and 8170. The biggest common factor number is the GCF number.
So the greatest common factor 8165 and 8170 is 5.

Also check out the Least Common Multiple of 8165 and 8170

Properties of GCF 8165 and 8170

(i) The GCF of 8165 and 8170 is associative

GCF of 8165 and 8170 = GCF of 8170 and 8165

Related Greatest Common Factor of 8165

Related Greatest Common Factor of 8170

Frequently Asked Questions on GCF of 8165 and 8170

1. What is the GCF of 8165 and 8170?

Answer: GCF of 8165 and 8170 is 5.

2. What are the Factors of 8165?

Answer: Factors of 8165 are 1, 5, 23, 71, 115, 355, 1633, 8165. There are 8 integers that are factors of 8165. The greatest factor of 8165 is 8165.

3. What are the Factors of 8170?

Answer: Factors of 8170 are 1, 2, 5, 10, 19, 38, 43, 86, 95, 190, 215, 430, 817, 1634, 4085, 8170. There are 16 integers that are factors of 8170. The greatest factor of 8170 is 8170.

4. How to Find the GCF of 8165 and 8170?

Answer:

Greatest Common Factor of 8165 and 8170 = 5

Step 1: Find the prime factorization of 8165

8165 = 5 x 23 x 71

Step 2: Find the prime factorization of 8170

8170 = 2 x 5 x 19 x 43

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 8165 and 8170 is 5