What is the Greatest Common Factor of 96816 and 96825?

Greatest common factor (GCF) of 96816 and 96825 is 3.

GCF(96816,96825) = 3

We will now calculate the prime factors of 96816 and 96825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96816 and 96825.

How to find the GCF of 96816 and 96825?

We will first find the prime factorization of 96816 and 96825. After we will calculate the factors of 96816 and 96825 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 96825

Prime factors of 96825 are 3, 5, 1291. Prime factorization of 96825 in exponential form is:

96825 = 3¹ × 5² × 1291¹

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 96825

List of positive integer factors of 96825 that divides 96816 without a remainder.

1, 3, 5, 15, 25, 75, 1291, 3873, 6455, 19365, 32275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96816 and 96825. The biggest common factor number is the GCF number.
So the greatest common factor 96816 and 96825 is 3.

Also check out the Least Common Multiple of 96816 and 96825