What is the Greatest Common Factor of 96744 and 96757?

Greatest common factor (GCF) of 96744 and 96757 is 1.

GCF(96744,96757) = 1

We will now calculate the prime factors of 96744 and 96757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96744 and 96757.

How to find the GCF of 96744 and 96757?

We will first find the prime factorization of 96744 and 96757. After we will calculate the factors of 96744 and 96757 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 96757

Prime factors of 96757 are 96757. Prime factorization of 96757 in exponential form is:

96757 = 96757¹

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 96757

List of positive integer factors of 96757 that divides 96744 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96744 and 96757. The biggest common factor number is the GCF number.
So the greatest common factor 96744 and 96757 is 1.

Also check out the Least Common Multiple of 96744 and 96757