What is the Greatest Common Factor of 8509 and 8528?

Greatest common factor (GCF) of 8509 and 8528 is 1.

GCF(8509,8528) = 1

We will now calculate the prime factors of 8509 and 8528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8509 and 8528.

How to find the GCF of 8509 and 8528?

We will first find the prime factorization of 8509 and 8528. After we will calculate the factors of 8509 and 8528 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 8528

Prime factors of 8528 are 2, 13, 41. Prime factorization of 8528 in exponential form is:

8528 = 2⁴ × 13¹ × 41¹

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 8528

List of positive integer factors of 8528 that divides 8509 without a remainder.

1, 2, 4, 8, 13, 16, 26, 41, 52, 82, 104, 164, 208, 328, 533, 656, 1066, 2132, 4264

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8509 and 8528. The biggest common factor number is the GCF number.
So the greatest common factor 8509 and 8528 is 1.

Also check out the Least Common Multiple of 8509 and 8528