What is the Greatest Common Factor of 96864 and 96872?

Greatest common factor (GCF) of 96864 and 96872 is 8.

GCF(96864,96872) = 8

We will now calculate the prime factors of 96864 and 96872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96864 and 96872.

How to find the GCF of 96864 and 96872?

We will first find the prime factorization of 96864 and 96872. After we will calculate the factors of 96864 and 96872 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 96872

Prime factors of 96872 are 2, 12109. Prime factorization of 96872 in exponential form is:

96872 = 2³ × 12109¹

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 96872

List of positive integer factors of 96872 that divides 96864 without a remainder.

1, 2, 4, 8, 12109, 24218, 48436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96864 and 96872. The biggest common factor number is the GCF number.
So the greatest common factor 96864 and 96872 is 8.

Also check out the Least Common Multiple of 96864 and 96872