What is the Greatest Common Factor of 20845 and 20849?

Greatest common factor (GCF) of 20845 and 20849 is 1.

GCF(20845,20849) = 1

We will now calculate the prime factors of 20845 and 20849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20845 and 20849.

How to find the GCF of 20845 and 20849?

We will first find the prime factorization of 20845 and 20849. After we will calculate the factors of 20845 and 20849 and find the biggest common factor number .

Step-1: Prime Factorization of 20845

Prime factors of 20845 are 5, 11, 379. Prime factorization of 20845 in exponential form is:

20845 = 5¹ × 11¹ × 379¹

Step-2: Prime Factorization of 20849

Prime factors of 20849 are 20849. Prime factorization of 20849 in exponential form is:

20849 = 20849¹

Step-3: Factors of 20845

List of positive integer factors of 20845 that divides 20845 without a remainder.

1, 5, 11, 55, 379, 1895, 4169

Step-4: Factors of 20849

List of positive integer factors of 20849 that divides 20845 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20845 and 20849. The biggest common factor number is the GCF number.
So the greatest common factor 20845 and 20849 is 1.

Also check out the Least Common Multiple of 20845 and 20849