What is the Greatest Common Factor of 96816 and 96827?

Greatest common factor (GCF) of 96816 and 96827 is 1.

GCF(96816,96827) = 1

We will now calculate the prime factors of 96816 and 96827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96816 and 96827.

How to find the GCF of 96816 and 96827?

We will first find the prime factorization of 96816 and 96827. After we will calculate the factors of 96816 and 96827 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 96827

Prime factors of 96827 are 96827. Prime factorization of 96827 in exponential form is:

96827 = 96827¹

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 96827

List of positive integer factors of 96827 that divides 96816 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96816 and 96827. The biggest common factor number is the GCF number.
So the greatest common factor 96816 and 96827 is 1.

Also check out the Least Common Multiple of 96816 and 96827