What is the Greatest Common Factor of 20794 and 20809?

Greatest common factor (GCF) of 20794 and 20809 is 1.

GCF(20794,20809) = 1

We will now calculate the prime factors of 20794 and 20809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20794 and 20809.

How to find the GCF of 20794 and 20809?

We will first find the prime factorization of 20794 and 20809. After we will calculate the factors of 20794 and 20809 and find the biggest common factor number .

Step-1: Prime Factorization of 20794

Prime factors of 20794 are 2, 37, 281. Prime factorization of 20794 in exponential form is:

20794 = 2¹ × 37¹ × 281¹

Step-2: Prime Factorization of 20809

Prime factors of 20809 are 20809. Prime factorization of 20809 in exponential form is:

20809 = 20809¹

Step-3: Factors of 20794

List of positive integer factors of 20794 that divides 20794 without a remainder.

1, 2, 37, 74, 281, 562, 10397

Step-4: Factors of 20809

List of positive integer factors of 20809 that divides 20794 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20794 and 20809. The biggest common factor number is the GCF number.
So the greatest common factor 20794 and 20809 is 1.

Also check out the Least Common Multiple of 20794 and 20809