What is the Greatest Common Factor of 96816 and 96833?

Greatest common factor (GCF) of 96816 and 96833 is 1.

GCF(96816,96833) = 1

We will now calculate the prime factors of 96816 and 96833, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96816 and 96833.

How to find the GCF of 96816 and 96833?

We will first find the prime factorization of 96816 and 96833. After we will calculate the factors of 96816 and 96833 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 96833

Prime factors of 96833 are 11, 8803. Prime factorization of 96833 in exponential form is:

96833 = 11¹ × 8803¹

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 96833

List of positive integer factors of 96833 that divides 96816 without a remainder.

1, 11, 8803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96816 and 96833. The biggest common factor number is the GCF number.
So the greatest common factor 96816 and 96833 is 1.

Also check out the Least Common Multiple of 96816 and 96833