What is the Greatest Common Factor of 82816 and 82822?

Greatest common factor (GCF) of 82816 and 82822 is 2.

GCF(82816,82822) = 2

We will now calculate the prime factors of 82816 and 82822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82816 and 82822.

How to find the GCF of 82816 and 82822?

We will first find the prime factorization of 82816 and 82822. After we will calculate the factors of 82816 and 82822 and find the biggest common factor number .

Step-1: Prime Factorization of 82816

Prime factors of 82816 are 2, 647. Prime factorization of 82816 in exponential form is:

82816 = 2⁷ × 647¹

Step-2: Prime Factorization of 82822

Prime factors of 82822 are 2, 41411. Prime factorization of 82822 in exponential form is:

82822 = 2¹ × 41411¹

Step-3: Factors of 82816

List of positive integer factors of 82816 that divides 82816 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 647, 1294, 2588, 5176, 10352, 20704, 41408

Step-4: Factors of 82822

List of positive integer factors of 82822 that divides 82816 without a remainder.

1, 2, 41411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82816 and 82822. The biggest common factor number is the GCF number.
So the greatest common factor 82816 and 82822 is 2.

Also check out the Least Common Multiple of 82816 and 82822