Greatest Common Factor of 8164 and 8165

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 8164, 8165 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8164 and 8165 is 1.

GCF(8164,8165) = 1

GCF of 8164 and 8165

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

GCF of:
and

Greatest Common Factor of 8164 and 8165

GCF of 8164 and 8165 is 1

Prime Factorization of 8164


2 8164
2 4082
13 2041
157 157
1

Prime factors of 8164 are 2,13,157. Prime factorization of 8164 in exponential form is:

8164 = 22×131×1571

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

∴ So by taking common prime factors GCF of 8164 and 8165 is 1

Greatest Common Factor of 8164 and 8165 by matching factors method

Factors of 8164

List of positive integer factors of 8164 that divides 8164 without a remainder.

1,2,4,13,26,52,157,314,628,2041,4082,8164

Factors of 8165

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

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

Greatest Common Factor

We found the factors and prime factorization of 8164 and 8165. The biggest common factor number is the GCF number.
So the greatest common factor 8164 and 8165 is 1.

Also check out the Least Common Multiple of 8164 and 8165

Properties of GCF 8164 and 8165

(i) The GCF of 8164 and 8165 is associative

GCF of 8164 and 8165 = GCF of 8165 and 8164

Related Greatest Common Factor of 8164

Related Greatest Common Factor of 8165

Frequently Asked Questions on GCF of 8164 and 8165

1. What is the GCF of 8164 and 8165?

Answer: GCF of 8164 and 8165 is 1.

2. What are the Factors of 8164?

Answer: Factors of 8164 are 1, 2, 4, 13, 26, 52, 157, 314, 628, 2041, 4082, 8164. There are 12 integers that are factors of 8164. The greatest factor of 8164 is 8164.

3. 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.

4. How to Find the GCF of 8164 and 8165?

Answer:

Greatest Common Factor of 8164 and 8165 = 1

Step 1: Find the prime factorization of 8164

8164 = 2 x 2 x 13 x 157

Step 2: Find the prime factorization of 8165

8165 = 5 x 23 x 71

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 8164 and 8165 is 1