Greatest Common Factor of 8265 and 8271

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 8265, 8271 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8265 and 8271 is 3.

GCF(8265,8271) = 3

GCF of 8265 and 8271

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

GCF of:
and

Greatest Common Factor of 8265 and 8271

GCF of 8265 and 8271 is 3

Prime Factorization of 8265


3 8265
5 2755
19 551
29 29
1

Prime factors of 8265 are 3,5,19,29. Prime factorization of 8265 in exponential form is:

8265 = 31×51×191×291

Prime Factorization of 8271


3 8271
3 2757
919 919
1

Prime factors of 8271 are 3,919. Prime factorization of 8271 in exponential form is:

8271 = 32×9191

∴ So by taking common prime factors GCF of 8265 and 8271 is 3

Greatest Common Factor of 8265 and 8271 by matching factors method

Factors of 8265

List of positive integer factors of 8265 that divides 8265 without a remainder.

1,3,5,15,19,29,57,87,95,145,285,435,551,1653,2755,8265

Factors of 8271

List of positive integer factors of 8271 that divides 8271 without a remainder.

1,3,9,919,2757,8271

Greatest Common Factor

We found the factors and prime factorization of 8265 and 8271. The biggest common factor number is the GCF number.
So the greatest common factor 8265 and 8271 is 3.

Also check out the Least Common Multiple of 8265 and 8271

Properties of GCF 8265 and 8271

(i) The GCF of 8265 and 8271 is associative

GCF of 8265 and 8271 = GCF of 8271 and 8265

Related Greatest Common Factor of 8265

Related Greatest Common Factor of 8271

Frequently Asked Questions on GCF of 8265 and 8271

1. What is the GCF of 8265 and 8271?

Answer: GCF of 8265 and 8271 is 3.

2. What are the Factors of 8265?

Answer: Factors of 8265 are 1, 3, 5, 15, 19, 29, 57, 87, 95, 145, 285, 435, 551, 1653, 2755, 8265. There are 16 integers that are factors of 8265. The greatest factor of 8265 is 8265.

3. What are the Factors of 8271?

Answer: Factors of 8271 are 1, 3, 9, 919, 2757, 8271. There are 6 integers that are factors of 8271. The greatest factor of 8271 is 8271.

4. How to Find the GCF of 8265 and 8271?

Answer:

Greatest Common Factor of 8265 and 8271 = 3

Step 1: Find the prime factorization of 8265

8265 = 3 x 5 x 19 x 29

Step 2: Find the prime factorization of 8271

8271 = 3 x 3 x 919

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 8265 and 8271 is 3