Greatest Common Factor of 8520 and 8528

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, 8528 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8520 and 8528 is 8.

GCF(8520,8528) = 8

GCF of 8520 and 8528

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

GCF of:
and

Greatest Common Factor of 8520 and 8528

GCF of 8520 and 8528 is 8

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 8528


2 8528
2 4264
2 2132
2 1066
13 533
41 41
1

Prime factors of 8528 are 2,13,41. Prime factorization of 8528 in exponential form is:

8528 = 24×131×411

∴ So by taking common prime factors GCF of 8520 and 8528 is 8

Greatest Common Factor of 8520 and 8528 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 8528

List of positive integer factors of 8528 that divides 8528 without a remainder.

1,2,4,8,13,16,26,41,52,82,104,164,208,328,533,656,1066,2132,4264,8528

Greatest Common Factor

We found the factors and prime factorization of 8520 and 8528. The biggest common factor number is the GCF number.
So the greatest common factor 8520 and 8528 is 8.

Also check out the Least Common Multiple of 8520 and 8528

Properties of GCF 8520 and 8528

(i) The GCF of 8520 and 8528 is associative

GCF of 8520 and 8528 = GCF of 8528 and 8520

Related Greatest Common Factor of 8520

Related Greatest Common Factor of 8528

Frequently Asked Questions on GCF of 8520 and 8528

1. What is the GCF of 8520 and 8528?

Answer: GCF of 8520 and 8528 is 8.

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 8528?

Answer: Factors of 8528 are 1, 2, 4, 8, 13, 16, 26, 41, 52, 82, 104, 164, 208, 328, 533, 656, 1066, 2132, 4264, 8528. There are 20 integers that are factors of 8528. The greatest factor of 8528 is 8528.

4. How to Find the GCF of 8520 and 8528?

Answer:

Greatest Common Factor of 8520 and 8528 = 8

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 8528

8528 = 2 x 2 x 2 x 2 x 13 x 41

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 8520 and 8528 is 8