What is the Greatest Common Factor of 96750 and 96765?

Greatest common factor (GCF) of 96750 and 96765 is 15.

GCF(96750,96765) = 15

We will now calculate the prime factors of 96750 and 96765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96750 and 96765.

How to find the GCF of 96750 and 96765?

We will first find the prime factorization of 96750 and 96765. After we will calculate the factors of 96750 and 96765 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 96765

Prime factors of 96765 are 3, 5, 6451. Prime factorization of 96765 in exponential form is:

96765 = 3¹ × 5¹ × 6451¹

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 96765

List of positive integer factors of 96765 that divides 96750 without a remainder.

1, 3, 5, 15, 6451, 19353, 32255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96750 and 96765. The biggest common factor number is the GCF number.
So the greatest common factor 96750 and 96765 is 15.

Also check out the Least Common Multiple of 96750 and 96765