What is the Greatest Common Factor of 20822 and 20836?

Greatest common factor (GCF) of 20822 and 20836 is 2.

GCF(20822,20836) = 2

We will now calculate the prime factors of 20822 and 20836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20822 and 20836.

How to find the GCF of 20822 and 20836?

We will first find the prime factorization of 20822 and 20836. After we will calculate the factors of 20822 and 20836 and find the biggest common factor number .

Step-1: Prime Factorization of 20822

Prime factors of 20822 are 2, 29, 359. Prime factorization of 20822 in exponential form is:

20822 = 2¹ × 29¹ × 359¹

Step-2: Prime Factorization of 20836

Prime factors of 20836 are 2, 5209. Prime factorization of 20836 in exponential form is:

20836 = 2² × 5209¹

Step-3: Factors of 20822

List of positive integer factors of 20822 that divides 20822 without a remainder.

1, 2, 29, 58, 359, 718, 10411

Step-4: Factors of 20836

List of positive integer factors of 20836 that divides 20822 without a remainder.

1, 2, 4, 5209, 10418

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20822 and 20836. The biggest common factor number is the GCF number.
So the greatest common factor 20822 and 20836 is 2.

Also check out the Least Common Multiple of 20822 and 20836