Greatest Common Factor of 8500 and 8507

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, 8507 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8500 and 8507 is 1.

GCF(8500,8507) = 1

GCF of 8500 and 8507

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

GCF of:
and

Greatest Common Factor of 8500 and 8507

GCF of 8500 and 8507 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 8507


47 8507
181 181
1

Prime factors of 8507 are 47,181. Prime factorization of 8507 in exponential form is:

8507 = 471×1811

∴ So by taking common prime factors GCF of 8500 and 8507 is 1

Greatest Common Factor of 8500 and 8507 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 8507

List of positive integer factors of 8507 that divides 8507 without a remainder.

1,47,181,8507

Greatest Common Factor

We found the factors and prime factorization of 8500 and 8507. The biggest common factor number is the GCF number.
So the greatest common factor 8500 and 8507 is 1.

Also check out the Least Common Multiple of 8500 and 8507

Properties of GCF 8500 and 8507

(i) The GCF of 8500 and 8507 is associative

GCF of 8500 and 8507 = GCF of 8507 and 8500

Related Greatest Common Factor of 8500

Related Greatest Common Factor of 8507

Frequently Asked Questions on GCF of 8500 and 8507

1. What is the GCF of 8500 and 8507?

Answer: GCF of 8500 and 8507 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 8507?

Answer: Factors of 8507 are 1, 47, 181, 8507. There are 4 integers that are factors of 8507. The greatest factor of 8507 is 8507.

4. How to Find the GCF of 8500 and 8507?

Answer:

Greatest Common Factor of 8500 and 8507 = 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 8507

8507 = 47 x 181

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 8507 is 1