What is the Greatest Common Factor of 96744 and 96762?

Greatest common factor (GCF) of 96744 and 96762 is 6.

GCF(96744,96762) = 6

We will now calculate the prime factors of 96744 and 96762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96744 and 96762.

How to find the GCF of 96744 and 96762?

We will first find the prime factorization of 96744 and 96762. After we will calculate the factors of 96744 and 96762 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 96762

Prime factors of 96762 are 2, 3, 16127. Prime factorization of 96762 in exponential form is:

96762 = 2¹ × 3¹ × 16127¹

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 96762

List of positive integer factors of 96762 that divides 96744 without a remainder.

1, 2, 3, 6, 16127, 32254, 48381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96744 and 96762. The biggest common factor number is the GCF number.
So the greatest common factor 96744 and 96762 is 6.

Also check out the Least Common Multiple of 96744 and 96762