What is the Greatest Common Factor of 96735 and 96750?

Greatest common factor (GCF) of 96735 and 96750 is 15.

GCF(96735,96750) = 15

We will now calculate the prime factors of 96735 and 96750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96735 and 96750.

How to find the GCF of 96735 and 96750?

We will first find the prime factorization of 96735 and 96750. After we will calculate the factors of 96735 and 96750 and find the biggest common factor number .

Step-1: Prime Factorization of 96735

Prime factors of 96735 are 3, 5, 6449. Prime factorization of 96735 in exponential form is:

96735 = 3¹ × 5¹ × 6449¹

Step-2: Prime Factorization of 96750

Prime factors of 96750 are 2, 3, 5, 43. Prime factorization of 96750 in exponential form is:

96750 = 2¹ × 3² × 5³ × 43¹

Step-3: Factors of 96735

List of positive integer factors of 96735 that divides 96735 without a remainder.

1, 3, 5, 15, 6449, 19347, 32245

Step-4: Factors of 96750

List of positive integer factors of 96750 that divides 96735 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 43, 45, 50, 75, 86, 90, 125, 129, 150, 215, 225, 250, 258, 375, 387, 430, 450, 645, 750, 774, 1075, 1125, 1290, 1935, 2150, 2250, 3225, 3870, 5375, 6450, 9675, 10750, 16125, 19350, 32250, 48375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96735 and 96750. The biggest common factor number is the GCF number.
So the greatest common factor 96735 and 96750 is 15.

Also check out the Least Common Multiple of 96735 and 96750