What is the Greatest Common Factor of 96804 and 96822?

Greatest common factor (GCF) of 96804 and 96822 is 18.

GCF(96804,96822) = 18

We will now calculate the prime factors of 96804 and 96822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96804 and 96822.

How to find the GCF of 96804 and 96822?

We will first find the prime factorization of 96804 and 96822. After we will calculate the factors of 96804 and 96822 and find the biggest common factor number .

Step-1: Prime Factorization of 96804

Prime factors of 96804 are 2, 3, 2689. Prime factorization of 96804 in exponential form is:

96804 = 2² × 3² × 2689¹

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 96804

List of positive integer factors of 96804 that divides 96804 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2689, 5378, 8067, 10756, 16134, 24201, 32268, 48402

Step-4: Factors of 96822

List of positive integer factors of 96822 that divides 96804 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 96804 and 96822. The biggest common factor number is the GCF number.
So the greatest common factor 96804 and 96822 is 18.

Also check out the Least Common Multiple of 96804 and 96822