Greatest Common Factor of 8265 and 8270

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, 8270 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8265 and 8270 is 5.

GCF(8265,8270) = 5

GCF of 8265 and 8270

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

GCF of:
and

Greatest Common Factor of 8265 and 8270

GCF of 8265 and 8270 is 5

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 8270


2 8270
5 4135
827 827
1

Prime factors of 8270 are 2,5,827. Prime factorization of 8270 in exponential form is:

8270 = 21×51×8271

∴ So by taking common prime factors GCF of 8265 and 8270 is 5

Greatest Common Factor of 8265 and 8270 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 8270

List of positive integer factors of 8270 that divides 8270 without a remainder.

1,2,5,10,827,1654,4135,8270

Greatest Common Factor

We found the factors and prime factorization of 8265 and 8270. The biggest common factor number is the GCF number.
So the greatest common factor 8265 and 8270 is 5.

Also check out the Least Common Multiple of 8265 and 8270

Properties of GCF 8265 and 8270

(i) The GCF of 8265 and 8270 is associative

GCF of 8265 and 8270 = GCF of 8270 and 8265

Related Greatest Common Factor of 8265

Related Greatest Common Factor of 8270

Frequently Asked Questions on GCF of 8265 and 8270

1. What is the GCF of 8265 and 8270?

Answer: GCF of 8265 and 8270 is 5.

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 8270?

Answer: Factors of 8270 are 1, 2, 5, 10, 827, 1654, 4135, 8270. There are 8 integers that are factors of 8270. The greatest factor of 8270 is 8270.

4. How to Find the GCF of 8265 and 8270?

Answer:

Greatest Common Factor of 8265 and 8270 = 5

Step 1: Find the prime factorization of 8265

8265 = 3 x 5 x 19 x 29

Step 2: Find the prime factorization of 8270

8270 = 2 x 5 x 827

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 8265 and 8270 is 5