What is the Greatest Common Factor of 96808 and 96816?

Greatest common factor (GCF) of 96808 and 96816 is 8.

GCF(96808,96816) = 8

We will now calculate the prime factors of 96808 and 96816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96808 and 96816.

How to find the GCF of 96808 and 96816?

We will first find the prime factorization of 96808 and 96816. After we will calculate the factors of 96808 and 96816 and find the biggest common factor number .

Step-1: Prime Factorization of 96808

Prime factors of 96808 are 2, 12101. Prime factorization of 96808 in exponential form is:

96808 = 2³ × 12101¹

Step-2: 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-3: Factors of 96808

List of positive integer factors of 96808 that divides 96808 without a remainder.

1, 2, 4, 8, 12101, 24202, 48404

Step-4: Factors of 96816

List of positive integer factors of 96816 that divides 96808 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96808 and 96816. The biggest common factor number is the GCF number.
So the greatest common factor 96808 and 96816 is 8.

Also check out the Least Common Multiple of 96808 and 96816