What is the Greatest Common Factor of 19838 and 19846?

Greatest common factor (GCF) of 19838 and 19846 is 2.

GCF(19838,19846) = 2

We will now calculate the prime factors of 19838 and 19846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19838 and 19846.

How to find the GCF of 19838 and 19846?

We will first find the prime factorization of 19838 and 19846. After we will calculate the factors of 19838 and 19846 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 19846

Prime factors of 19846 are 2, 9923. Prime factorization of 19846 in exponential form is:

19846 = 2¹ × 9923¹

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 19846

List of positive integer factors of 19846 that divides 19838 without a remainder.

1, 2, 9923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19838 and 19846. The biggest common factor number is the GCF number.
So the greatest common factor 19838 and 19846 is 2.

Also check out the Least Common Multiple of 19838 and 19846