What is the Greatest Common Factor of 96742 and 96750?

Greatest common factor (GCF) of 96742 and 96750 is 2.

GCF(96742,96750) = 2

We will now calculate the prime factors of 96742 and 96750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96742 and 96750.

How to find the GCF of 96742 and 96750?

We will first find the prime factorization of 96742 and 96750. After we will calculate the factors of 96742 and 96750 and find the biggest common factor number .

Step-1: Prime Factorization of 96742

Prime factors of 96742 are 2, 48371. Prime factorization of 96742 in exponential form is:

96742 = 2¹ × 48371¹

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 96742

List of positive integer factors of 96742 that divides 96742 without a remainder.

1, 2, 48371

Step-4: Factors of 96750

List of positive integer factors of 96750 that divides 96742 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 96742 and 96750. The biggest common factor number is the GCF number.
So the greatest common factor 96742 and 96750 is 2.

Also check out the Least Common Multiple of 96742 and 96750