Greatest Common Factor of 8520 and 8525

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, 8525 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8520 and 8525 is 5.

GCF(8520,8525) = 5

GCF of 8520 and 8525

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

GCF of:
and

Greatest Common Factor of 8520 and 8525

GCF of 8520 and 8525 is 5

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 8525


5 8525
5 1705
11 341
31 31
1

Prime factors of 8525 are 5,11,31. Prime factorization of 8525 in exponential form is:

8525 = 52×111×311

∴ So by taking common prime factors GCF of 8520 and 8525 is 5

Greatest Common Factor of 8520 and 8525 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 8525

List of positive integer factors of 8525 that divides 8525 without a remainder.

1,5,11,25,31,55,155,275,341,775,1705,8525

Greatest Common Factor

We found the factors and prime factorization of 8520 and 8525. The biggest common factor number is the GCF number.
So the greatest common factor 8520 and 8525 is 5.

Also check out the Least Common Multiple of 8520 and 8525

Properties of GCF 8520 and 8525

(i) The GCF of 8520 and 8525 is associative

GCF of 8520 and 8525 = GCF of 8525 and 8520

Related Greatest Common Factor of 8520

Related Greatest Common Factor of 8525

Frequently Asked Questions on GCF of 8520 and 8525

1. What is the GCF of 8520 and 8525?

Answer: GCF of 8520 and 8525 is 5.

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 8525?

Answer: Factors of 8525 are 1, 5, 11, 25, 31, 55, 155, 275, 341, 775, 1705, 8525. There are 12 integers that are factors of 8525. The greatest factor of 8525 is 8525.

4. How to Find the GCF of 8520 and 8525?

Answer:

Greatest Common Factor of 8520 and 8525 = 5

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 8525

8525 = 5 x 5 x 11 x 31

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 8520 and 8525 is 5