What is the Greatest Common Factor of 19844 and 19849?

Greatest common factor (GCF) of 19844 and 19849 is 1.

GCF(19844,19849) = 1

We will now calculate the prime factors of 19844 and 19849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19844 and 19849.

How to find the GCF of 19844 and 19849?

We will first find the prime factorization of 19844 and 19849. After we will calculate the factors of 19844 and 19849 and find the biggest common factor number .

Step-1: Prime Factorization of 19844

Prime factors of 19844 are 2, 11, 41. Prime factorization of 19844 in exponential form is:

19844 = 2² × 11² × 41¹

Step-2: Prime Factorization of 19849

Prime factors of 19849 are 23, 863. Prime factorization of 19849 in exponential form is:

19849 = 23¹ × 863¹

Step-3: Factors of 19844

List of positive integer factors of 19844 that divides 19844 without a remainder.

1, 2, 4, 11, 22, 41, 44, 82, 121, 164, 242, 451, 484, 902, 1804, 4961, 9922

Step-4: Factors of 19849

List of positive integer factors of 19849 that divides 19844 without a remainder.

1, 23, 863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19844 and 19849. The biggest common factor number is the GCF number.
So the greatest common factor 19844 and 19849 is 1.

Also check out the Least Common Multiple of 19844 and 19849