Greatest Common Factor of 8530 and 8535

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 8530, 8535 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8530 and 8535 is 5.

GCF(8530,8535) = 5

GCF of 8530 and 8535

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

GCF of:
and

Greatest Common Factor of 8530 and 8535

GCF of 8530 and 8535 is 5

Prime Factorization of 8530


2 8530
5 4265
853 853
1

Prime factors of 8530 are 2,5,853. Prime factorization of 8530 in exponential form is:

8530 = 21×51×8531

Prime Factorization of 8535


3 8535
5 2845
569 569
1

Prime factors of 8535 are 3,5,569. Prime factorization of 8535 in exponential form is:

8535 = 31×51×5691

∴ So by taking common prime factors GCF of 8530 and 8535 is 5

Greatest Common Factor of 8530 and 8535 by matching factors method

Factors of 8530

List of positive integer factors of 8530 that divides 8530 without a remainder.

1,2,5,10,853,1706,4265,8530

Factors of 8535

List of positive integer factors of 8535 that divides 8535 without a remainder.

1,3,5,15,569,1707,2845,8535

Greatest Common Factor

We found the factors and prime factorization of 8530 and 8535. The biggest common factor number is the GCF number.
So the greatest common factor 8530 and 8535 is 5.

Also check out the Least Common Multiple of 8530 and 8535

Properties of GCF 8530 and 8535

(i) The GCF of 8530 and 8535 is associative

GCF of 8530 and 8535 = GCF of 8535 and 8530

Related Greatest Common Factor of 8530

Related Greatest Common Factor of 8535

Frequently Asked Questions on GCF of 8530 and 8535

1. What is the GCF of 8530 and 8535?

Answer: GCF of 8530 and 8535 is 5.

2. What are the Factors of 8530?

Answer: Factors of 8530 are 1, 2, 5, 10, 853, 1706, 4265, 8530. There are 8 integers that are factors of 8530. The greatest factor of 8530 is 8530.

3. What are the Factors of 8535?

Answer: Factors of 8535 are 1, 3, 5, 15, 569, 1707, 2845, 8535. There are 8 integers that are factors of 8535. The greatest factor of 8535 is 8535.

4. How to Find the GCF of 8530 and 8535?

Answer:

Greatest Common Factor of 8530 and 8535 = 5

Step 1: Find the prime factorization of 8530

8530 = 2 x 5 x 853

Step 2: Find the prime factorization of 8535

8535 = 3 x 5 x 569

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 8530 and 8535 is 5