Greatest Common Factor of 8509 and 8510

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 8509, 8510 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8509 and 8510 is 1.

GCF(8509,8510) = 1

GCF of 8509 and 8510

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

GCF of:
and

Greatest Common Factor of 8509 and 8510

GCF of 8509 and 8510 is 1

Prime Factorization of 8509


67 8509
127 127
1

Prime factors of 8509 are 67,127. Prime factorization of 8509 in exponential form is:

8509 = 671×1271

Prime Factorization of 8510


2 8510
5 4255
23 851
37 37
1

Prime factors of 8510 are 2,5,23,37. Prime factorization of 8510 in exponential form is:

8510 = 21×51×231×371

∴ So by taking common prime factors GCF of 8509 and 8510 is 1

Greatest Common Factor of 8509 and 8510 by matching factors method

Factors of 8509

List of positive integer factors of 8509 that divides 8509 without a remainder.

1,67,127,8509

Factors of 8510

List of positive integer factors of 8510 that divides 8510 without a remainder.

1,2,5,10,23,37,46,74,115,185,230,370,851,1702,4255,8510

Greatest Common Factor

We found the factors and prime factorization of 8509 and 8510. The biggest common factor number is the GCF number.
So the greatest common factor 8509 and 8510 is 1.

Also check out the Least Common Multiple of 8509 and 8510

Properties of GCF 8509 and 8510

(i) The GCF of 8509 and 8510 is associative

GCF of 8509 and 8510 = GCF of 8510 and 8509

Related Greatest Common Factor of 8509

Related Greatest Common Factor of 8510

Frequently Asked Questions on GCF of 8509 and 8510

1. What is the GCF of 8509 and 8510?

Answer: GCF of 8509 and 8510 is 1.

2. What are the Factors of 8509?

Answer: Factors of 8509 are 1, 67, 127, 8509. There are 4 integers that are factors of 8509. The greatest factor of 8509 is 8509.

3. What are the Factors of 8510?

Answer: Factors of 8510 are 1, 2, 5, 10, 23, 37, 46, 74, 115, 185, 230, 370, 851, 1702, 4255, 8510. There are 16 integers that are factors of 8510. The greatest factor of 8510 is 8510.

4. How to Find the GCF of 8509 and 8510?

Answer:

Greatest Common Factor of 8509 and 8510 = 1

Step 1: Find the prime factorization of 8509

8509 = 67 x 127

Step 2: Find the prime factorization of 8510

8510 = 2 x 5 x 23 x 37

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 8509 and 8510 is 1