What is the Greatest Common Factor of 8535 and 8550?

Greatest common factor (GCF) of 8535 and 8550 is 15.

GCF(8535,8550) = 15

We will now calculate the prime factors of 8535 and 8550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8535 and 8550.

How to find the GCF of 8535 and 8550?

We will first find the prime factorization of 8535 and 8550. After we will calculate the factors of 8535 and 8550 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8550

Prime factors of 8550 are 2, 3, 5, 19. Prime factorization of 8550 in exponential form is:

8550 = 2¹ × 3² × 5² × 19¹

Step-3: Factors of 8535

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

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

Step-4: Factors of 8550

List of positive integer factors of 8550 that divides 8535 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 25, 30, 38, 45, 50, 57, 75, 90, 95, 114, 150, 171, 190, 225, 285, 342, 450, 475, 570, 855, 950, 1425, 1710, 2850, 4275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8535 and 8550. The biggest common factor number is the GCF number.
So the greatest common factor 8535 and 8550 is 15.

Also check out the Least Common Multiple of 8535 and 8550