What is the Greatest Common Factor of 19831 and 19838?

Greatest common factor (GCF) of 19831 and 19838 is 7.

GCF(19831,19838) = 7

We will now calculate the prime factors of 19831 and 19838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19831 and 19838.

How to find the GCF of 19831 and 19838?

We will first find the prime factorization of 19831 and 19838. After we will calculate the factors of 19831 and 19838 and find the biggest common factor number .

Step-1: Prime Factorization of 19831

Prime factors of 19831 are 7, 2833. Prime factorization of 19831 in exponential form is:

19831 = 7¹ × 2833¹

Step-2: 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-3: Factors of 19831

List of positive integer factors of 19831 that divides 19831 without a remainder.

1, 7, 2833

Step-4: Factors of 19838

List of positive integer factors of 19838 that divides 19831 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19831 and 19838. The biggest common factor number is the GCF number.
So the greatest common factor 19831 and 19838 is 7.

Also check out the Least Common Multiple of 19831 and 19838