What is the Greatest Common Factor of 19838 and 19851?

Greatest common factor (GCF) of 19838 and 19851 is 13.

GCF(19838,19851) = 13

We will now calculate the prime factors of 19838 and 19851, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19838 and 19851.

How to find the GCF of 19838 and 19851?

We will first find the prime factorization of 19838 and 19851. After we will calculate the factors of 19838 and 19851 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 19851

Prime factors of 19851 are 3, 13, 509. Prime factorization of 19851 in exponential form is:

19851 = 3¹ × 13¹ × 509¹

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 19851

List of positive integer factors of 19851 that divides 19838 without a remainder.

1, 3, 13, 39, 509, 1527, 6617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19838 and 19851. The biggest common factor number is the GCF number.
So the greatest common factor 19838 and 19851 is 13.

Also check out the Least Common Multiple of 19838 and 19851