What is the Greatest Common Factor of 96488 and 96500?

Greatest common factor (GCF) of 96488 and 96500 is 4.

GCF(96488,96500) = 4

We will now calculate the prime factors of 96488 and 96500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96488 and 96500.

How to find the GCF of 96488 and 96500?

We will first find the prime factorization of 96488 and 96500. After we will calculate the factors of 96488 and 96500 and find the biggest common factor number .

Step-1: Prime Factorization of 96488

Prime factors of 96488 are 2, 7, 1723. Prime factorization of 96488 in exponential form is:

96488 = 2³ × 7¹ × 1723¹

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 96488

List of positive integer factors of 96488 that divides 96488 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1723, 3446, 6892, 12061, 13784, 24122, 48244

Step-4: Factors of 96500

List of positive integer factors of 96500 that divides 96488 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 96488 and 96500. The biggest common factor number is the GCF number.
So the greatest common factor 96488 and 96500 is 4.

Also check out the Least Common Multiple of 96488 and 96500