What is the Greatest Common Factor of 8528 and 8539?

Greatest common factor (GCF) of 8528 and 8539 is 1.

GCF(8528,8539) = 1

We will now calculate the prime factors of 8528 and 8539, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8528 and 8539.

How to find the GCF of 8528 and 8539?

We will first find the prime factorization of 8528 and 8539. After we will calculate the factors of 8528 and 8539 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8539

Prime factors of 8539 are 8539. Prime factorization of 8539 in exponential form is:

8539 = 8539¹

Step-3: Factors of 8528

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

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

Step-4: Factors of 8539

List of positive integer factors of 8539 that divides 8528 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8528 and 8539. The biggest common factor number is the GCF number.
So the greatest common factor 8528 and 8539 is 1.

Also check out the Least Common Multiple of 8528 and 8539