What is the Greatest Common Factor of 20822 and 20839?

Greatest common factor (GCF) of 20822 and 20839 is 1.

GCF(20822,20839) = 1

We will now calculate the prime factors of 20822 and 20839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20822 and 20839.

How to find the GCF of 20822 and 20839?

We will first find the prime factorization of 20822 and 20839. After we will calculate the factors of 20822 and 20839 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 20839

Prime factors of 20839 are 7, 13, 229. Prime factorization of 20839 in exponential form is:

20839 = 7¹ × 13¹ × 229¹

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 20839

List of positive integer factors of 20839 that divides 20822 without a remainder.

1, 7, 13, 91, 229, 1603, 2977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20822 and 20839. The biggest common factor number is the GCF number.
So the greatest common factor 20822 and 20839 is 1.

Also check out the Least Common Multiple of 20822 and 20839