What is the Greatest Common Factor of 96744 and 96752?

Greatest common factor (GCF) of 96744 and 96752 is 8.

GCF(96744,96752) = 8

We will now calculate the prime factors of 96744 and 96752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96744 and 96752.

How to find the GCF of 96744 and 96752?

We will first find the prime factorization of 96744 and 96752. After we will calculate the factors of 96744 and 96752 and find the biggest common factor number .

Step-1: Prime Factorization of 96744

Prime factors of 96744 are 2, 3, 29, 139. Prime factorization of 96744 in exponential form is:

96744 = 2³ × 3¹ × 29¹ × 139¹

Step-2: Prime Factorization of 96752

Prime factors of 96752 are 2, 6047. Prime factorization of 96752 in exponential form is:

96752 = 2⁴ × 6047¹

Step-3: Factors of 96744

List of positive integer factors of 96744 that divides 96744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 139, 174, 232, 278, 348, 417, 556, 696, 834, 1112, 1668, 3336, 4031, 8062, 12093, 16124, 24186, 32248, 48372

Step-4: Factors of 96752

List of positive integer factors of 96752 that divides 96744 without a remainder.

1, 2, 4, 8, 16, 6047, 12094, 24188, 48376

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96744 and 96752. The biggest common factor number is the GCF number.
So the greatest common factor 96744 and 96752 is 8.

Also check out the Least Common Multiple of 96744 and 96752