What is the Greatest Common Factor of 96525 and 96538?

Greatest common factor (GCF) of 96525 and 96538 is 13.

GCF(96525,96538) = 13

We will now calculate the prime factors of 96525 and 96538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96525 and 96538.

How to find the GCF of 96525 and 96538?

We will first find the prime factorization of 96525 and 96538. After we will calculate the factors of 96525 and 96538 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 96538

Prime factors of 96538 are 2, 13, 47, 79. Prime factorization of 96538 in exponential form is:

96538 = 2¹ × 13¹ × 47¹ × 79¹

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 96538

List of positive integer factors of 96538 that divides 96525 without a remainder.

1, 2, 13, 26, 47, 79, 94, 158, 611, 1027, 1222, 2054, 3713, 7426, 48269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96525 and 96538. The biggest common factor number is the GCF number.
So the greatest common factor 96525 and 96538 is 13.

Also check out the Least Common Multiple of 96525 and 96538