Greatest Common Factor of 8517 and 8525

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 8517, 8525 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8517 and 8525 is 1.

GCF(8517,8525) = 1

GCF of 8517 and 8525

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

GCF of:
and

Greatest Common Factor of 8517 and 8525

GCF of 8517 and 8525 is 1

Prime Factorization of 8517


3 8517
17 2839
167 167
1

Prime factors of 8517 are 3,17,167. Prime factorization of 8517 in exponential form is:

8517 = 31×171×1671

Prime Factorization of 8525


5 8525
5 1705
11 341
31 31
1

Prime factors of 8525 are 5,11,31. Prime factorization of 8525 in exponential form is:

8525 = 52×111×311

∴ So by taking common prime factors GCF of 8517 and 8525 is 1

Greatest Common Factor of 8517 and 8525 by matching factors method

Factors of 8517

List of positive integer factors of 8517 that divides 8517 without a remainder.

1,3,17,51,167,501,2839,8517

Factors of 8525

List of positive integer factors of 8525 that divides 8525 without a remainder.

1,5,11,25,31,55,155,275,341,775,1705,8525

Greatest Common Factor

We found the factors and prime factorization of 8517 and 8525. The biggest common factor number is the GCF number.
So the greatest common factor 8517 and 8525 is 1.

Also check out the Least Common Multiple of 8517 and 8525

Properties of GCF 8517 and 8525

(i) The GCF of 8517 and 8525 is associative

GCF of 8517 and 8525 = GCF of 8525 and 8517

Related Greatest Common Factor of 8517

Related Greatest Common Factor of 8525

Frequently Asked Questions on GCF of 8517 and 8525

1. What is the GCF of 8517 and 8525?

Answer: GCF of 8517 and 8525 is 1.

2. What are the Factors of 8517?

Answer: Factors of 8517 are 1, 3, 17, 51, 167, 501, 2839, 8517. There are 8 integers that are factors of 8517. The greatest factor of 8517 is 8517.

3. What are the Factors of 8525?

Answer: Factors of 8525 are 1, 5, 11, 25, 31, 55, 155, 275, 341, 775, 1705, 8525. There are 12 integers that are factors of 8525. The greatest factor of 8525 is 8525.

4. How to Find the GCF of 8517 and 8525?

Answer:

Greatest Common Factor of 8517 and 8525 = 1

Step 1: Find the prime factorization of 8517

8517 = 3 x 17 x 167

Step 2: Find the prime factorization of 8525

8525 = 5 x 5 x 11 x 31

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 8517 and 8525 is 1