What is the Greatest Common Factor of 96816 and 96828?

Greatest common factor (GCF) of 96816 and 96828 is 12.

GCF(96816,96828) = 12

We will now calculate the prime factors of 96816 and 96828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96816 and 96828.

How to find the GCF of 96816 and 96828?

We will first find the prime factorization of 96816 and 96828. After we will calculate the factors of 96816 and 96828 and find the biggest common factor number .

Step-1: Prime Factorization of 96816

Prime factors of 96816 are 2, 3, 2017. Prime factorization of 96816 in exponential form is:

96816 = 2⁴ × 3¹ × 2017¹

Step-2: Prime Factorization of 96828

Prime factors of 96828 are 2, 3, 8069. Prime factorization of 96828 in exponential form is:

96828 = 2² × 3¹ × 8069¹

Step-3: Factors of 96816

List of positive integer factors of 96816 that divides 96816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 2017, 4034, 6051, 8068, 12102, 16136, 24204, 32272, 48408

Step-4: Factors of 96828

List of positive integer factors of 96828 that divides 96816 without a remainder.

1, 2, 3, 4, 6, 12, 8069, 16138, 24207, 32276, 48414

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96816 and 96828. The biggest common factor number is the GCF number.
So the greatest common factor 96816 and 96828 is 12.

Also check out the Least Common Multiple of 96816 and 96828