Greatest Common Factor of 8500 and 8503

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, 8503 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8500 and 8503 is 1.

GCF(8500,8503) = 1

GCF of 8500 and 8503

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

GCF of:
and

Greatest Common Factor of 8500 and 8503

GCF of 8500 and 8503 is 1

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 8503


11 8503
773 773
1

Prime factors of 8503 are 11,773. Prime factorization of 8503 in exponential form is:

8503 = 111×7731

∴ So by taking common prime factors GCF of 8500 and 8503 is 1

Greatest Common Factor of 8500 and 8503 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 8503

List of positive integer factors of 8503 that divides 8503 without a remainder.

1,11,773,8503

Greatest Common Factor

We found the factors and prime factorization of 8500 and 8503. The biggest common factor number is the GCF number.
So the greatest common factor 8500 and 8503 is 1.

Also check out the Least Common Multiple of 8500 and 8503

Properties of GCF 8500 and 8503

(i) The GCF of 8500 and 8503 is associative

GCF of 8500 and 8503 = GCF of 8503 and 8500

Related Greatest Common Factor of 8500

Related Greatest Common Factor of 8503

Frequently Asked Questions on GCF of 8500 and 8503

1. What is the GCF of 8500 and 8503?

Answer: GCF of 8500 and 8503 is 1.

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 8503?

Answer: Factors of 8503 are 1, 11, 773, 8503. There are 4 integers that are factors of 8503. The greatest factor of 8503 is 8503.

4. How to Find the GCF of 8500 and 8503?

Answer:

Greatest Common Factor of 8500 and 8503 = 1

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 8503

8503 = 11 x 773

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 8500 and 8503 is 1