What is the Greatest Common Factor of 82822 and 82828?

Greatest common factor (GCF) of 82822 and 82828 is 2.

GCF(82822,82828) = 2

We will now calculate the prime factors of 82822 and 82828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82822 and 82828.

How to find the GCF of 82822 and 82828?

We will first find the prime factorization of 82822 and 82828. After we will calculate the factors of 82822 and 82828 and find the biggest common factor number .

Step-1: Prime Factorization of 82822

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

82822 = 2¹ × 41411¹

Step-2: Prime Factorization of 82828

Prime factors of 82828 are 2, 20707. Prime factorization of 82828 in exponential form is:

82828 = 2² × 20707¹

Step-3: Factors of 82822

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

1, 2, 41411

Step-4: Factors of 82828

List of positive integer factors of 82828 that divides 82822 without a remainder.

1, 2, 4, 20707, 41414

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82822 and 82828. The biggest common factor number is the GCF number.
So the greatest common factor 82822 and 82828 is 2.

Also check out the Least Common Multiple of 82822 and 82828