What is the Greatest Common Factor of 19838 and 19849?

Greatest common factor (GCF) of 19838 and 19849 is 1.

GCF(19838,19849) = 1

We will now calculate the prime factors of 19838 and 19849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19838 and 19849.

How to find the GCF of 19838 and 19849?

We will first find the prime factorization of 19838 and 19849. After we will calculate the factors of 19838 and 19849 and find the biggest common factor number .

Step-1: Prime Factorization of 19838

Prime factors of 19838 are 2, 7, 13, 109. Prime factorization of 19838 in exponential form is:

19838 = 2¹ × 7¹ × 13¹ × 109¹

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 19838

List of positive integer factors of 19838 that divides 19838 without a remainder.

1, 2, 7, 13, 14, 26, 91, 109, 182, 218, 763, 1417, 1526, 2834, 9919

Step-4: Factors of 19849

List of positive integer factors of 19849 that divides 19838 without a remainder.

1, 23, 863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19838 and 19849. The biggest common factor number is the GCF number.
So the greatest common factor 19838 and 19849 is 1.

Also check out the Least Common Multiple of 19838 and 19849