What is the Greatest Common Factor of 96744 and 96753?

Greatest common factor (GCF) of 96744 and 96753 is 3.

GCF(96744,96753) = 3

We will now calculate the prime factors of 96744 and 96753, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96744 and 96753.

How to find the GCF of 96744 and 96753?

We will first find the prime factorization of 96744 and 96753. After we will calculate the factors of 96744 and 96753 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 96753

Prime factors of 96753 are 3, 32251. Prime factorization of 96753 in exponential form is:

96753 = 3¹ × 32251¹

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 96753

List of positive integer factors of 96753 that divides 96744 without a remainder.

1, 3, 32251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96744 and 96753. The biggest common factor number is the GCF number.
So the greatest common factor 96744 and 96753 is 3.

Also check out the Least Common Multiple of 96744 and 96753