What is the Greatest Common Factor of 96490 and 96500?

Greatest common factor (GCF) of 96490 and 96500 is 10.

GCF(96490,96500) = 10

We will now calculate the prime factors of 96490 and 96500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96490 and 96500.

How to find the GCF of 96490 and 96500?

We will first find the prime factorization of 96490 and 96500. After we will calculate the factors of 96490 and 96500 and find the biggest common factor number .

Step-1: Prime Factorization of 96490

Prime factors of 96490 are 2, 5, 9649. Prime factorization of 96490 in exponential form is:

96490 = 2¹ × 5¹ × 9649¹

Step-2: 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-3: Factors of 96490

List of positive integer factors of 96490 that divides 96490 without a remainder.

1, 2, 5, 10, 9649, 19298, 48245

Step-4: Factors of 96500

List of positive integer factors of 96500 that divides 96490 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96490 and 96500. The biggest common factor number is the GCF number.
So the greatest common factor 96490 and 96500 is 10.

Also check out the Least Common Multiple of 96490 and 96500