What is the Greatest Common Factor of 96500 and 96514?

Greatest common factor (GCF) of 96500 and 96514 is 2.

GCF(96500,96514) = 2

We will now calculate the prime factors of 96500 and 96514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96500 and 96514.

How to find the GCF of 96500 and 96514?

We will first find the prime factorization of 96500 and 96514. After we will calculate the factors of 96500 and 96514 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 96514

Prime factors of 96514 are 2, 11, 41, 107. Prime factorization of 96514 in exponential form is:

96514 = 2¹ × 11¹ × 41¹ × 107¹

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 96514

List of positive integer factors of 96514 that divides 96500 without a remainder.

1, 2, 11, 22, 41, 82, 107, 214, 451, 902, 1177, 2354, 4387, 8774, 48257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96500 and 96514. The biggest common factor number is the GCF number.
So the greatest common factor 96500 and 96514 is 2.

Also check out the Least Common Multiple of 96500 and 96514