What is the Greatest Common Factor of 20818 and 20822?

Greatest common factor (GCF) of 20818 and 20822 is 2.

GCF(20818,20822) = 2

We will now calculate the prime factors of 20818 and 20822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20818 and 20822.

How to find the GCF of 20818 and 20822?

We will first find the prime factorization of 20818 and 20822. After we will calculate the factors of 20818 and 20822 and find the biggest common factor number .

Step-1: Prime Factorization of 20818

Prime factors of 20818 are 2, 7, 1487. Prime factorization of 20818 in exponential form is:

20818 = 2¹ × 7¹ × 1487¹

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 20818

List of positive integer factors of 20818 that divides 20818 without a remainder.

1, 2, 7, 14, 1487, 2974, 10409

Step-4: Factors of 20822

List of positive integer factors of 20822 that divides 20818 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20818 and 20822. The biggest common factor number is the GCF number.
So the greatest common factor 20818 and 20822 is 2.

Also check out the Least Common Multiple of 20818 and 20822