What is the Greatest Common Factor of 96756 and 96771?

Greatest common factor (GCF) of 96756 and 96771 is 3.

GCF(96756,96771) = 3

We will now calculate the prime factors of 96756 and 96771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96756 and 96771.

How to find the GCF of 96756 and 96771?

We will first find the prime factorization of 96756 and 96771. After we will calculate the factors of 96756 and 96771 and find the biggest common factor number .

Step-1: Prime Factorization of 96756

Prime factors of 96756 are 2, 3, 11, 733. Prime factorization of 96756 in exponential form is:

96756 = 2² × 3¹ × 11¹ × 733¹

Step-2: Prime Factorization of 96771

Prime factors of 96771 are 3, 32257. Prime factorization of 96771 in exponential form is:

96771 = 3¹ × 32257¹

Step-3: Factors of 96756

List of positive integer factors of 96756 that divides 96756 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 733, 1466, 2199, 2932, 4398, 8063, 8796, 16126, 24189, 32252, 48378

Step-4: Factors of 96771

List of positive integer factors of 96771 that divides 96756 without a remainder.

1, 3, 32257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96756 and 96771. The biggest common factor number is the GCF number.
So the greatest common factor 96756 and 96771 is 3.

Also check out the Least Common Multiple of 96756 and 96771