What is the Greatest Common Factor of 96507 and 96525?

Greatest common factor (GCF) of 96507 and 96525 is 9.

GCF(96507,96525) = 9

We will now calculate the prime factors of 96507 and 96525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96507 and 96525.

How to find the GCF of 96507 and 96525?

We will first find the prime factorization of 96507 and 96525. After we will calculate the factors of 96507 and 96525 and find the biggest common factor number .

Step-1: Prime Factorization of 96507

Prime factors of 96507 are 3, 10723. Prime factorization of 96507 in exponential form is:

96507 = 3² × 10723¹

Step-2: 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-3: Factors of 96507

List of positive integer factors of 96507 that divides 96507 without a remainder.

1, 3, 9, 10723, 32169

Step-4: Factors of 96525

List of positive integer factors of 96525 that divides 96507 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96507 and 96525. The biggest common factor number is the GCF number.
So the greatest common factor 96507 and 96525 is 9.

Also check out the Least Common Multiple of 96507 and 96525