What is the Greatest Common Factor of 96750 and 96770?

Greatest common factor (GCF) of 96750 and 96770 is 10.

GCF(96750,96770) = 10

We will now calculate the prime factors of 96750 and 96770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96750 and 96770.

How to find the GCF of 96750 and 96770?

We will first find the prime factorization of 96750 and 96770. After we will calculate the factors of 96750 and 96770 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 96770

Prime factors of 96770 are 2, 5, 9677. Prime factorization of 96770 in exponential form is:

96770 = 2¹ × 5¹ × 9677¹

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 96770

List of positive integer factors of 96770 that divides 96750 without a remainder.

1, 2, 5, 10, 9677, 19354, 48385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96750 and 96770. The biggest common factor number is the GCF number.
So the greatest common factor 96750 and 96770 is 10.

Also check out the Least Common Multiple of 96750 and 96770