What is the Greatest Common Factor of 19838 and 19856?

Greatest common factor (GCF) of 19838 and 19856 is 2.

GCF(19838,19856) = 2

We will now calculate the prime factors of 19838 and 19856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19838 and 19856.

How to find the GCF of 19838 and 19856?

We will first find the prime factorization of 19838 and 19856. After we will calculate the factors of 19838 and 19856 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 19856

Prime factors of 19856 are 2, 17, 73. Prime factorization of 19856 in exponential form is:

19856 = 2⁴ × 17¹ × 73¹

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 19856

List of positive integer factors of 19856 that divides 19838 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 73, 136, 146, 272, 292, 584, 1168, 1241, 2482, 4964, 9928

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19838 and 19856. The biggest common factor number is the GCF number.
So the greatest common factor 19838 and 19856 is 2.

Also check out the Least Common Multiple of 19838 and 19856