What is the Greatest Common Factor of 19856 and 19873?

Greatest common factor (GCF) of 19856 and 19873 is 17.

GCF(19856,19873) = 17

We will now calculate the prime factors of 19856 and 19873, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19856 and 19873.

How to find the GCF of 19856 and 19873?

We will first find the prime factorization of 19856 and 19873. After we will calculate the factors of 19856 and 19873 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19873

Prime factors of 19873 are 7, 17, 167. Prime factorization of 19873 in exponential form is:

19873 = 7¹ × 17¹ × 167¹

Step-3: Factors of 19856

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

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

Step-4: Factors of 19873

List of positive integer factors of 19873 that divides 19856 without a remainder.

1, 7, 17, 119, 167, 1169, 2839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19856 and 19873. The biggest common factor number is the GCF number.
So the greatest common factor 19856 and 19873 is 17.

Also check out the Least Common Multiple of 19856 and 19873