Greatest Common Factor of 8259 and 8265

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 8259, 8265 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8259 and 8265 is 3.

GCF(8259,8265) = 3

GCF of 8259 and 8265

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

GCF of:
and

Greatest Common Factor of 8259 and 8265

GCF of 8259 and 8265 is 3

Prime Factorization of 8259


3 8259
2753 2753
1

Prime factors of 8259 are 3,2753. Prime factorization of 8259 in exponential form is:

8259 = 31×27531

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

∴ So by taking common prime factors GCF of 8259 and 8265 is 3

Greatest Common Factor of 8259 and 8265 by matching factors method

Factors of 8259

List of positive integer factors of 8259 that divides 8259 without a remainder.

1,3,2753,8259

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

Greatest Common Factor

We found the factors and prime factorization of 8259 and 8265. The biggest common factor number is the GCF number.
So the greatest common factor 8259 and 8265 is 3.

Also check out the Least Common Multiple of 8259 and 8265

Properties of GCF 8259 and 8265

(i) The GCF of 8259 and 8265 is associative

GCF of 8259 and 8265 = GCF of 8265 and 8259

Related Greatest Common Factor of 8259

Related Greatest Common Factor of 8265

Frequently Asked Questions on GCF of 8259 and 8265

1. What is the GCF of 8259 and 8265?

Answer: GCF of 8259 and 8265 is 3.

2. What are the Factors of 8259?

Answer: Factors of 8259 are 1, 3, 2753, 8259. There are 4 integers that are factors of 8259. The greatest factor of 8259 is 8259.

3. 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.

4. How to Find the GCF of 8259 and 8265?

Answer:

Greatest Common Factor of 8259 and 8265 = 3

Step 1: Find the prime factorization of 8259

8259 = 3 x 2753

Step 2: Find the prime factorization of 8265

8265 = 3 x 5 x 19 x 29

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 8259 and 8265 is 3