Greatest Common Factor of 8520 and 8524

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 8520, 8524 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8520 and 8524 is 4.

GCF(8520,8524) = 4

GCF of 8520 and 8524

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

GCF of:
and

Greatest Common Factor of 8520 and 8524

GCF of 8520 and 8524 is 4

Prime Factorization of 8520


2 8520
2 4260
2 2130
3 1065
5 355
71 71
1

Prime factors of 8520 are 2,3,5,71. Prime factorization of 8520 in exponential form is:

8520 = 23×31×51×711

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

∴ So by taking common prime factors GCF of 8520 and 8524 is 4

Greatest Common Factor of 8520 and 8524 by matching factors method

Factors of 8520

List of positive integer factors of 8520 that divides 8520 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,71,120,142,213,284,355,426,568,710,852,1065,1420,1704,2130,2840,4260,8520

Factors of 8524

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

1,2,4,2131,4262,8524

Greatest Common Factor

We found the factors and prime factorization of 8520 and 8524. The biggest common factor number is the GCF number.
So the greatest common factor 8520 and 8524 is 4.

Also check out the Least Common Multiple of 8520 and 8524

Properties of GCF 8520 and 8524

(i) The GCF of 8520 and 8524 is associative

GCF of 8520 and 8524 = GCF of 8524 and 8520

Related Greatest Common Factor of 8520

Related Greatest Common Factor of 8524

Frequently Asked Questions on GCF of 8520 and 8524

1. What is the GCF of 8520 and 8524?

Answer: GCF of 8520 and 8524 is 4.

2. What are the Factors of 8520?

Answer: Factors of 8520 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 71, 120, 142, 213, 284, 355, 426, 568, 710, 852, 1065, 1420, 1704, 2130, 2840, 4260, 8520. There are 32 integers that are factors of 8520. The greatest factor of 8520 is 8520.

3. 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.

4. How to Find the GCF of 8520 and 8524?

Answer:

Greatest Common Factor of 8520 and 8524 = 4

Step 1: Find the prime factorization of 8520

8520 = 2 x 2 x 2 x 3 x 5 x 71

Step 2: Find the prime factorization of 8524

8524 = 2 x 2 x 2131

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 8520 and 8524 is 4