What is the Greatest Common Factor of 96500 and 96510?

Greatest common factor (GCF) of 96500 and 96510 is 10.

GCF(96500,96510) = 10

We will now calculate the prime factors of 96500 and 96510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96500 and 96510.

How to find the GCF of 96500 and 96510?

We will first find the prime factorization of 96500 and 96510. After we will calculate the factors of 96500 and 96510 and find the biggest common factor number .

Step-1: Prime Factorization of 96500

Prime factors of 96500 are 2, 5, 193. Prime factorization of 96500 in exponential form is:

96500 = 2² × 5³ × 193¹

Step-2: Prime Factorization of 96510

Prime factors of 96510 are 2, 3, 5, 3217. Prime factorization of 96510 in exponential form is:

96510 = 2¹ × 3¹ × 5¹ × 3217¹

Step-3: Factors of 96500

List of positive integer factors of 96500 that divides 96500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 193, 250, 386, 500, 772, 965, 1930, 3860, 4825, 9650, 19300, 24125, 48250

Step-4: Factors of 96510

List of positive integer factors of 96510 that divides 96500 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3217, 6434, 9651, 16085, 19302, 32170, 48255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96500 and 96510. The biggest common factor number is the GCF number.
So the greatest common factor 96500 and 96510 is 10.

Also check out the Least Common Multiple of 96500 and 96510