What is the Greatest Common Factor of 19845 and 19859?

Greatest common factor (GCF) of 19845 and 19859 is 7.

GCF(19845,19859) = 7

We will now calculate the prime factors of 19845 and 19859, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19845 and 19859.

How to find the GCF of 19845 and 19859?

We will first find the prime factorization of 19845 and 19859. After we will calculate the factors of 19845 and 19859 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19859

Prime factors of 19859 are 7, 2837. Prime factorization of 19859 in exponential form is:

19859 = 7¹ × 2837¹

Step-3: Factors of 19845

List of positive integer factors of 19845 that divides 19845 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

Step-4: Factors of 19859

List of positive integer factors of 19859 that divides 19845 without a remainder.

1, 7, 2837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19845 and 19859. The biggest common factor number is the GCF number.
So the greatest common factor 19845 and 19859 is 7.

Also check out the Least Common Multiple of 19845 and 19859