What is the Greatest Common Factor of 96816 and 96822?

Greatest common factor (GCF) of 96816 and 96822 is 6.

GCF(96816,96822) = 6

We will now calculate the prime factors of 96816 and 96822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96816 and 96822.

How to find the GCF of 96816 and 96822?

We will first find the prime factorization of 96816 and 96822. After we will calculate the factors of 96816 and 96822 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 96822

Prime factors of 96822 are 2, 3, 11, 163. Prime factorization of 96822 in exponential form is:

96822 = 2¹ × 3³ × 11¹ × 163¹

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 96822

List of positive integer factors of 96822 that divides 96816 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 163, 198, 297, 326, 489, 594, 978, 1467, 1793, 2934, 3586, 4401, 5379, 8802, 10758, 16137, 32274, 48411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96816 and 96822. The biggest common factor number is the GCF number.
So the greatest common factor 96816 and 96822 is 6.

Also check out the Least Common Multiple of 96816 and 96822