What is the Greatest Common Factor of 19838 and 19845?

Greatest common factor (GCF) of 19838 and 19845 is 7.

GCF(19838,19845) = 7

We will now calculate the prime factors of 19838 and 19845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19838 and 19845.

How to find the GCF of 19838 and 19845?

We will first find the prime factorization of 19838 and 19845. After we will calculate the factors of 19838 and 19845 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 19845

Prime factors of 19845 are 3, 5, 7. Prime factorization of 19845 in exponential form is:

19845 = 3⁴ × 5¹ × 7²

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 19845

List of positive integer factors of 19845 that divides 19838 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 49, 63, 81, 105, 135, 147, 189, 245, 315, 405, 441, 567, 735, 945, 1323, 2205, 2835, 3969, 6615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19838 and 19845. The biggest common factor number is the GCF number.
So the greatest common factor 19838 and 19845 is 7.

Also check out the Least Common Multiple of 19838 and 19845