What is the Greatest Common Factor of 96814 and 96822?

Greatest common factor (GCF) of 96814 and 96822 is 2.

GCF(96814,96822) = 2

We will now calculate the prime factors of 96814 and 96822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96814 and 96822.

How to find the GCF of 96814 and 96822?

We will first find the prime factorization of 96814 and 96822. After we will calculate the factors of 96814 and 96822 and find the biggest common factor number .

Step-1: Prime Factorization of 96814

Prime factors of 96814 are 2, 48407. Prime factorization of 96814 in exponential form is:

96814 = 2¹ × 48407¹

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 96814

List of positive integer factors of 96814 that divides 96814 without a remainder.

1, 2, 48407

Step-4: Factors of 96822

List of positive integer factors of 96822 that divides 96814 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 96814 and 96822. The biggest common factor number is the GCF number.
So the greatest common factor 96814 and 96822 is 2.

Also check out the Least Common Multiple of 96814 and 96822