Greatest Common Factor of 8500 and 8504

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 8500, 8504 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8500 and 8504 is 4.

GCF(8500,8504) = 4

GCF of 8500 and 8504

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

GCF of:
and

Greatest Common Factor of 8500 and 8504

GCF of 8500 and 8504 is 4

Prime Factorization of 8500


2 8500
2 4250
5 2125
5 425
5 85
17 17
1

Prime factors of 8500 are 2,5,17. Prime factorization of 8500 in exponential form is:

8500 = 22×53×171

Prime Factorization of 8504


2 8504
2 4252
2 2126
1063 1063
1

Prime factors of 8504 are 2,1063. Prime factorization of 8504 in exponential form is:

8504 = 23×10631

∴ So by taking common prime factors GCF of 8500 and 8504 is 4

Greatest Common Factor of 8500 and 8504 by matching factors method

Factors of 8500

List of positive integer factors of 8500 that divides 8500 without a remainder.

1,2,4,5,10,17,20,25,34,50,68,85,100,125,170,250,340,425,500,850,1700,2125,4250,8500

Factors of 8504

List of positive integer factors of 8504 that divides 8504 without a remainder.

1,2,4,8,1063,2126,4252,8504

Greatest Common Factor

We found the factors and prime factorization of 8500 and 8504. The biggest common factor number is the GCF number.
So the greatest common factor 8500 and 8504 is 4.

Also check out the Least Common Multiple of 8500 and 8504

Properties of GCF 8500 and 8504

(i) The GCF of 8500 and 8504 is associative

GCF of 8500 and 8504 = GCF of 8504 and 8500

Related Greatest Common Factor of 8500

Related Greatest Common Factor of 8504

Frequently Asked Questions on GCF of 8500 and 8504

1. What is the GCF of 8500 and 8504?

Answer: GCF of 8500 and 8504 is 4.

2. What are the Factors of 8500?

Answer: Factors of 8500 are 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 125, 170, 250, 340, 425, 500, 850, 1700, 2125, 4250, 8500. There are 24 integers that are factors of 8500. The greatest factor of 8500 is 8500.

3. What are the Factors of 8504?

Answer: Factors of 8504 are 1, 2, 4, 8, 1063, 2126, 4252, 8504. There are 8 integers that are factors of 8504. The greatest factor of 8504 is 8504.

4. How to Find the GCF of 8500 and 8504?

Answer:

Greatest Common Factor of 8500 and 8504 = 4

Step 1: Find the prime factorization of 8500

8500 = 2 x 2 x 5 x 5 x 5 x 17

Step 2: Find the prime factorization of 8504

8504 = 2 x 2 x 2 x 1063

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 8500 and 8504 is 4