What is the Greatest Common Factor of 8509 and 8527?

Greatest common factor (GCF) of 8509 and 8527 is 1.

GCF(8509,8527) = 1

We will now calculate the prime factors of 8509 and 8527, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8509 and 8527.

How to find the GCF of 8509 and 8527?

We will first find the prime factorization of 8509 and 8527. After we will calculate the factors of 8509 and 8527 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 8527

Prime factors of 8527 are 8527. Prime factorization of 8527 in exponential form is:

8527 = 8527¹

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 8527

List of positive integer factors of 8527 that divides 8509 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8509 and 8527. The biggest common factor number is the GCF number.
So the greatest common factor 8509 and 8527 is 1.

Also check out the Least Common Multiple of 8509 and 8527