What is the Greatest Common Factor of 96525 and 96540?

Greatest common factor (GCF) of 96525 and 96540 is 15.

GCF(96525,96540) = 15

We will now calculate the prime factors of 96525 and 96540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96525 and 96540.

How to find the GCF of 96525 and 96540?

We will first find the prime factorization of 96525 and 96540. After we will calculate the factors of 96525 and 96540 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 96540

Prime factors of 96540 are 2, 3, 5, 1609. Prime factorization of 96540 in exponential form is:

96540 = 2² × 3¹ × 5¹ × 1609¹

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 96540

List of positive integer factors of 96540 that divides 96525 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1609, 3218, 4827, 6436, 8045, 9654, 16090, 19308, 24135, 32180, 48270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96525 and 96540. The biggest common factor number is the GCF number.
So the greatest common factor 96525 and 96540 is 15.

Also check out the Least Common Multiple of 96525 and 96540