What is the Greatest Common Factor of 20806 and 20822?

Greatest common factor (GCF) of 20806 and 20822 is 2.

GCF(20806,20822) = 2

We will now calculate the prime factors of 20806 and 20822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20806 and 20822.

How to find the GCF of 20806 and 20822?

We will first find the prime factorization of 20806 and 20822. After we will calculate the factors of 20806 and 20822 and find the biggest common factor number .

Step-1: Prime Factorization of 20806

Prime factors of 20806 are 2, 101, 103. Prime factorization of 20806 in exponential form is:

20806 = 2¹ × 101¹ × 103¹

Step-2: 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-3: Factors of 20806

List of positive integer factors of 20806 that divides 20806 without a remainder.

1, 2, 101, 103, 202, 206, 10403

Step-4: Factors of 20822

List of positive integer factors of 20822 that divides 20806 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20806 and 20822. The biggest common factor number is the GCF number.
So the greatest common factor 20806 and 20822 is 2.

Also check out the Least Common Multiple of 20806 and 20822