What is the Greatest Common Factor of 19385 and 19400?

Greatest common factor (GCF) of 19385 and 19400 is 5.

GCF(19385,19400) = 5

We will now calculate the prime factors of 19385 and 19400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19385 and 19400.

How to find the GCF of 19385 and 19400?

We will first find the prime factorization of 19385 and 19400. After we will calculate the factors of 19385 and 19400 and find the biggest common factor number .

Step-1: Prime Factorization of 19385

Prime factors of 19385 are 5, 3877. Prime factorization of 19385 in exponential form is:

19385 = 5¹ × 3877¹

Step-2: Prime Factorization of 19400

Prime factors of 19400 are 2, 5, 97. Prime factorization of 19400 in exponential form is:

19400 = 2³ × 5² × 97¹

Step-3: Factors of 19385

List of positive integer factors of 19385 that divides 19385 without a remainder.

1, 5, 3877

Step-4: Factors of 19400

List of positive integer factors of 19400 that divides 19385 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 97, 100, 194, 200, 388, 485, 776, 970, 1940, 2425, 3880, 4850, 9700

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19385 and 19400. The biggest common factor number is the GCF number.
So the greatest common factor 19385 and 19400 is 5.

Also check out the Least Common Multiple of 19385 and 19400