Greatest Common Factor of 8524 and 8530

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 8524, 8530 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8524 and 8530 is 2.

GCF(8524,8530) = 2

GCF of 8524 and 8530

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

GCF of:
and

Greatest Common Factor of 8524 and 8530

GCF of 8524 and 8530 is 2

Prime Factorization of 8524


2 8524
2 4262
2131 2131
1

Prime factors of 8524 are 2,2131. Prime factorization of 8524 in exponential form is:

8524 = 22×21311

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

∴ So by taking common prime factors GCF of 8524 and 8530 is 2

Greatest Common Factor of 8524 and 8530 by matching factors method

Factors of 8524

List of positive integer factors of 8524 that divides 8524 without a remainder.

1,2,4,2131,4262,8524

Factors of 8530

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

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

Greatest Common Factor

We found the factors and prime factorization of 8524 and 8530. The biggest common factor number is the GCF number.
So the greatest common factor 8524 and 8530 is 2.

Also check out the Least Common Multiple of 8524 and 8530

Properties of GCF 8524 and 8530

(i) The GCF of 8524 and 8530 is associative

GCF of 8524 and 8530 = GCF of 8530 and 8524

Related Greatest Common Factor of 8524

Related Greatest Common Factor of 8530

Frequently Asked Questions on GCF of 8524 and 8530

1. What is the GCF of 8524 and 8530?

Answer: GCF of 8524 and 8530 is 2.

2. What are the Factors of 8524?

Answer: Factors of 8524 are 1, 2, 4, 2131, 4262, 8524. There are 6 integers that are factors of 8524. The greatest factor of 8524 is 8524.

3. 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.

4. How to Find the GCF of 8524 and 8530?

Answer:

Greatest Common Factor of 8524 and 8530 = 2

Step 1: Find the prime factorization of 8524

8524 = 2 x 2 x 2131

Step 2: Find the prime factorization of 8530

8530 = 2 x 5 x 853

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

GCF = 2

Step 4: Therefore, the greatest common factor of 8524 and 8530 is 2