What is the Greatest Common Factor of 8509 and 8513?

Greatest common factor (GCF) of 8509 and 8513 is 1.

GCF(8509,8513) = 1

We will now calculate the prime factors of 8509 and 8513, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8509 and 8513.

How to find the GCF of 8509 and 8513?

We will first find the prime factorization of 8509 and 8513. After we will calculate the factors of 8509 and 8513 and find the biggest common factor number .

Step-1: Prime Factorization of 8509

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

8509 = 67¹ × 127¹

Step-2: Prime Factorization of 8513

Prime factors of 8513 are 8513. Prime factorization of 8513 in exponential form is:

8513 = 8513¹

Step-3: Factors of 8509

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

1, 67, 127

Step-4: Factors of 8513

List of positive integer factors of 8513 that divides 8509 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8509 and 8513. The biggest common factor number is the GCF number.
So the greatest common factor 8509 and 8513 is 1.

Also check out the Least Common Multiple of 8509 and 8513