What is the Greatest Common Factor of 20819 and 20829?

Greatest common factor (GCF) of 20819 and 20829 is 1.

GCF(20819,20829) = 1

We will now calculate the prime factors of 20819 and 20829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20819 and 20829.

How to find the GCF of 20819 and 20829?

We will first find the prime factorization of 20819 and 20829. After we will calculate the factors of 20819 and 20829 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 20829

Prime factors of 20829 are 3, 53, 131. Prime factorization of 20829 in exponential form is:

20829 = 3¹ × 53¹ × 131¹

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 20829

List of positive integer factors of 20829 that divides 20819 without a remainder.

1, 3, 53, 131, 159, 393, 6943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20819 and 20829. The biggest common factor number is the GCF number.
So the greatest common factor 20819 and 20829 is 1.

Also check out the Least Common Multiple of 20819 and 20829