What is the Greatest Common Factor of 96864 and 96879?

Greatest common factor (GCF) of 96864 and 96879 is 3.

GCF(96864,96879) = 3

We will now calculate the prime factors of 96864 and 96879, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96864 and 96879.

How to find the GCF of 96864 and 96879?

We will first find the prime factorization of 96864 and 96879. After we will calculate the factors of 96864 and 96879 and find the biggest common factor number .

Step-1: Prime Factorization of 96864

Prime factors of 96864 are 2, 3, 1009. Prime factorization of 96864 in exponential form is:

96864 = 2⁵ × 3¹ × 1009¹

Step-2: Prime Factorization of 96879

Prime factors of 96879 are 3, 43, 751. Prime factorization of 96879 in exponential form is:

96879 = 3¹ × 43¹ × 751¹

Step-3: Factors of 96864

List of positive integer factors of 96864 that divides 96864 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 1009, 2018, 3027, 4036, 6054, 8072, 12108, 16144, 24216, 32288, 48432

Step-4: Factors of 96879

List of positive integer factors of 96879 that divides 96864 without a remainder.

1, 3, 43, 129, 751, 2253, 32293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96864 and 96879. The biggest common factor number is the GCF number.
So the greatest common factor 96864 and 96879 is 3.

Also check out the Least Common Multiple of 96864 and 96879