What is the Greatest Common Factor of 8509 and 8524?

Greatest common factor (GCF) of 8509 and 8524 is 1.

GCF(8509,8524) = 1

We will now calculate the prime factors of 8509 and 8524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8509 and 8524.

How to find the GCF of 8509 and 8524?

We will first find the prime factorization of 8509 and 8524. After we will calculate the factors of 8509 and 8524 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 8524

Prime factors of 8524 are 2, 2131. Prime factorization of 8524 in exponential form is:

8524 = 2² × 2131¹

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 8524

List of positive integer factors of 8524 that divides 8509 without a remainder.

1, 2, 4, 2131, 4262

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8509 and 8524. The biggest common factor number is the GCF number.
So the greatest common factor 8509 and 8524 is 1.

Also check out the Least Common Multiple of 8509 and 8524