Greatest Common Factor of 8165 and 8167

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, 8167 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8165 and 8167 is 1.

GCF(8165,8167) = 1

GCF of 8165 and 8167

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

GCF of:
and

Greatest Common Factor of 8165 and 8167

GCF of 8165 and 8167 is 1

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 8167


8167 8167
1

Prime factors of 8167 are 8167. Prime factorization of 8167 in exponential form is:

8167 = 81671

∴ So by taking common prime factors GCF of 8165 and 8167 is 1

Greatest Common Factor of 8165 and 8167 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 8167

List of positive integer factors of 8167 that divides 8167 without a remainder.

1,8167

Greatest Common Factor

We found the factors and prime factorization of 8165 and 8167. The biggest common factor number is the GCF number.
So the greatest common factor 8165 and 8167 is 1.

Also check out the Least Common Multiple of 8165 and 8167

Properties of GCF 8165 and 8167

(i) The GCF of 8165 and 8167 is associative

GCF of 8165 and 8167 = GCF of 8167 and 8165

Related Greatest Common Factor of 8165

Related Greatest Common Factor of 8167

Frequently Asked Questions on GCF of 8165 and 8167

1. What is the GCF of 8165 and 8167?

Answer: GCF of 8165 and 8167 is 1.

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 8167?

Answer: Factors of 8167 are 1, 8167. There are 2 integers that are factors of 8167. The greatest factor of 8167 is 8167.

4. How to Find the GCF of 8165 and 8167?

Answer:

Greatest Common Factor of 8165 and 8167 = 1

Step 1: Find the prime factorization of 8165

8165 = 5 x 23 x 71

Step 2: Find the prime factorization of 8167

8167 = 8167

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 8165 and 8167 is 1