What is the Greatest Common Factor of 8529 and 8535?

Greatest common factor (GCF) of 8529 and 8535 is 3.

GCF(8529,8535) = 3

We will now calculate the prime factors of 8529 and 8535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8529 and 8535.

How to find the GCF of 8529 and 8535?

We will first find the prime factorization of 8529 and 8535. After we will calculate the factors of 8529 and 8535 and find the biggest common factor number .

Step-1: Prime Factorization of 8529

Prime factors of 8529 are 3, 2843. Prime factorization of 8529 in exponential form is:

8529 = 3¹ × 2843¹

Step-2: Prime Factorization of 8535

Prime factors of 8535 are 3, 5, 569. Prime factorization of 8535 in exponential form is:

8535 = 3¹ × 5¹ × 569¹

Step-3: Factors of 8529

List of positive integer factors of 8529 that divides 8529 without a remainder.

1, 3, 2843

Step-4: Factors of 8535

List of positive integer factors of 8535 that divides 8529 without a remainder.

1, 3, 5, 15, 569, 1707, 2845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8529 and 8535. The biggest common factor number is the GCF number.
So the greatest common factor 8529 and 8535 is 3.

Also check out the Least Common Multiple of 8529 and 8535