Greatest Common Factor of 8494 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 8494, 8500 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8494 and 8500 is 2.

GCF(8494,8500) = 2

GCF of 8494 and 8500

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

GCF of:
and

Greatest Common Factor of 8494 and 8500

GCF of 8494 and 8500 is 2

Prime Factorization of 8494


2 8494
31 4247
137 137
1

Prime factors of 8494 are 2,31,137. Prime factorization of 8494 in exponential form is:

8494 = 21×311×1371

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 8494 and 8500 is 2

Greatest Common Factor of 8494 and 8500 by matching factors method

Factors of 8494

List of positive integer factors of 8494 that divides 8494 without a remainder.

1,2,31,62,137,274,4247,8494

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 8494 and 8500. The biggest common factor number is the GCF number.
So the greatest common factor 8494 and 8500 is 2.

Also check out the Least Common Multiple of 8494 and 8500

Properties of GCF 8494 and 8500

(i) The GCF of 8494 and 8500 is associative

GCF of 8494 and 8500 = GCF of 8500 and 8494

Related Greatest Common Factor of 8494

Related Greatest Common Factor of 8500

Frequently Asked Questions on GCF of 8494 and 8500

1. What is the GCF of 8494 and 8500?

Answer: GCF of 8494 and 8500 is 2.

2. What are the Factors of 8494?

Answer: Factors of 8494 are 1, 2, 31, 62, 137, 274, 4247, 8494. There are 8 integers that are factors of 8494. The greatest factor of 8494 is 8494.

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 8494 and 8500?

Answer:

Greatest Common Factor of 8494 and 8500 = 2

Step 1: Find the prime factorization of 8494

8494 = 2 x 31 x 137

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 8494 and 8500 is 2