What is the Greatest Common Factor of 96750 and 96755?

Greatest common factor (GCF) of 96750 and 96755 is 5.

GCF(96750,96755) = 5

We will now calculate the prime factors of 96750 and 96755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96750 and 96755.

How to find the GCF of 96750 and 96755?

We will first find the prime factorization of 96750 and 96755. After we will calculate the factors of 96750 and 96755 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96755

Prime factors of 96755 are 5, 37, 523. Prime factorization of 96755 in exponential form is:

96755 = 5¹ × 37¹ × 523¹

Step-3: Factors of 96750

List of positive integer factors of 96750 that divides 96750 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

Step-4: Factors of 96755

List of positive integer factors of 96755 that divides 96750 without a remainder.

1, 5, 37, 185, 523, 2615, 19351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96750 and 96755. The biggest common factor number is the GCF number.
So the greatest common factor 96750 and 96755 is 5.

Also check out the Least Common Multiple of 96750 and 96755