What is the Greatest Common Factor of 20819 and 20838?

Greatest common factor (GCF) of 20819 and 20838 is 1.

GCF(20819,20838) = 1

We will now calculate the prime factors of 20819 and 20838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20819 and 20838.

How to find the GCF of 20819 and 20838?

We will first find the prime factorization of 20819 and 20838. After we will calculate the factors of 20819 and 20838 and find the biggest common factor number .

Step-1: Prime Factorization of 20819

Prime factors of 20819 are 109, 191. Prime factorization of 20819 in exponential form is:

20819 = 109¹ × 191¹

Step-2: Prime Factorization of 20838

Prime factors of 20838 are 2, 3, 23, 151. Prime factorization of 20838 in exponential form is:

20838 = 2¹ × 3¹ × 23¹ × 151¹

Step-3: Factors of 20819

List of positive integer factors of 20819 that divides 20819 without a remainder.

1, 109, 191

Step-4: Factors of 20838

List of positive integer factors of 20838 that divides 20819 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 151, 302, 453, 906, 3473, 6946, 10419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20819 and 20838. The biggest common factor number is the GCF number.
So the greatest common factor 20819 and 20838 is 1.

Also check out the Least Common Multiple of 20819 and 20838