What is the Greatest Common Factor of 96816 and 96831?

Greatest common factor (GCF) of 96816 and 96831 is 3.

GCF(96816,96831) = 3

We will now calculate the prime factors of 96816 and 96831, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96816 and 96831.

How to find the GCF of 96816 and 96831?

We will first find the prime factorization of 96816 and 96831. After we will calculate the factors of 96816 and 96831 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 96831

Prime factors of 96831 are 3, 7, 29, 53. Prime factorization of 96831 in exponential form is:

96831 = 3² × 7¹ × 29¹ × 53¹

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 96831

List of positive integer factors of 96831 that divides 96816 without a remainder.

1, 3, 7, 9, 21, 29, 53, 63, 87, 159, 203, 261, 371, 477, 609, 1113, 1537, 1827, 3339, 4611, 10759, 13833, 32277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96816 and 96831. The biggest common factor number is the GCF number.
So the greatest common factor 96816 and 96831 is 3.

Also check out the Least Common Multiple of 96816 and 96831