What is the Greatest Common Factor of 96738 and 96744?

Greatest common factor (GCF) of 96738 and 96744 is 6.

GCF(96738,96744) = 6

We will now calculate the prime factors of 96738 and 96744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96738 and 96744.

How to find the GCF of 96738 and 96744?

We will first find the prime factorization of 96738 and 96744. After we will calculate the factors of 96738 and 96744 and find the biggest common factor number .

Step-1: Prime Factorization of 96738

Prime factors of 96738 are 2, 3, 23, 701. Prime factorization of 96738 in exponential form is:

96738 = 2¹ × 3¹ × 23¹ × 701¹

Step-2: 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-3: Factors of 96738

List of positive integer factors of 96738 that divides 96738 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 701, 1402, 2103, 4206, 16123, 32246, 48369

Step-4: Factors of 96744

List of positive integer factors of 96744 that divides 96738 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96738 and 96744. The biggest common factor number is the GCF number.
So the greatest common factor 96738 and 96744 is 6.

Also check out the Least Common Multiple of 96738 and 96744