What is the Greatest Common Factor of 96525 and 96530?

Greatest common factor (GCF) of 96525 and 96530 is 5.

GCF(96525,96530) = 5

We will now calculate the prime factors of 96525 and 96530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96525 and 96530.

How to find the GCF of 96525 and 96530?

We will first find the prime factorization of 96525 and 96530. After we will calculate the factors of 96525 and 96530 and find the biggest common factor number .

Step-1: Prime Factorization of 96525

Prime factors of 96525 are 3, 5, 11, 13. Prime factorization of 96525 in exponential form is:

96525 = 3³ × 5² × 11¹ × 13¹

Step-2: Prime Factorization of 96530

Prime factors of 96530 are 2, 5, 7, 197. Prime factorization of 96530 in exponential form is:

96530 = 2¹ × 5¹ × 7² × 197¹

Step-3: Factors of 96525

List of positive integer factors of 96525 that divides 96525 without a remainder.

1, 3, 5, 9, 11, 13, 15, 25, 27, 33, 39, 45, 55, 65, 75, 99, 117, 135, 143, 165, 195, 225, 275, 297, 325, 351, 429, 495, 585, 675, 715, 825, 975, 1287, 1485, 1755, 2145, 2475, 2925, 3575, 3861, 6435, 7425, 8775, 10725, 19305, 32175

Step-4: Factors of 96530

List of positive integer factors of 96530 that divides 96525 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 197, 245, 394, 490, 985, 1379, 1970, 2758, 6895, 9653, 13790, 19306, 48265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96525 and 96530. The biggest common factor number is the GCF number.
So the greatest common factor 96525 and 96530 is 5.

Also check out the Least Common Multiple of 96525 and 96530