Greatest Common Factor of 8498 and 8500

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 8498, 8500 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8498 and 8500 is 2.

GCF(8498,8500) = 2

GCF of 8498 and 8500

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

GCF of:
and

Greatest Common Factor of 8498 and 8500

GCF of 8498 and 8500 is 2

Prime Factorization of 8498


2 8498
7 4249
607 607
1

Prime factors of 8498 are 2,7,607. Prime factorization of 8498 in exponential form is:

8498 = 21×71×6071

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

∴ So by taking common prime factors GCF of 8498 and 8500 is 2

Greatest Common Factor of 8498 and 8500 by matching factors method

Factors of 8498

List of positive integer factors of 8498 that divides 8498 without a remainder.

1,2,7,14,607,1214,4249,8498

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

Greatest Common Factor

We found the factors and prime factorization of 8498 and 8500. The biggest common factor number is the GCF number.
So the greatest common factor 8498 and 8500 is 2.

Also check out the Least Common Multiple of 8498 and 8500

Properties of GCF 8498 and 8500

(i) The GCF of 8498 and 8500 is associative

GCF of 8498 and 8500 = GCF of 8500 and 8498

Related Greatest Common Factor of 8498

Related Greatest Common Factor of 8500

Frequently Asked Questions on GCF of 8498 and 8500

1. What is the GCF of 8498 and 8500?

Answer: GCF of 8498 and 8500 is 2.

2. What are the Factors of 8498?

Answer: Factors of 8498 are 1, 2, 7, 14, 607, 1214, 4249, 8498. There are 8 integers that are factors of 8498. The greatest factor of 8498 is 8498.

3. 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.

4. How to Find the GCF of 8498 and 8500?

Answer:

Greatest Common Factor of 8498 and 8500 = 2

Step 1: Find the prime factorization of 8498

8498 = 2 x 7 x 607

Step 2: Find the prime factorization of 8500

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

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

GCF = 2

Step 4: Therefore, the greatest common factor of 8498 and 8500 is 2