What is the Greatest Common Factor of 19400 and 19408?

Greatest common factor (GCF) of 19400 and 19408 is 8.

GCF(19400,19408) = 8

We will now calculate the prime factors of 19400 and 19408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19400 and 19408.

How to find the GCF of 19400 and 19408?

We will first find the prime factorization of 19400 and 19408. After we will calculate the factors of 19400 and 19408 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19408

Prime factors of 19408 are 2, 1213. Prime factorization of 19408 in exponential form is:

19408 = 2⁴ × 1213¹

Step-3: Factors of 19400

List of positive integer factors of 19400 that divides 19400 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

Step-4: Factors of 19408

List of positive integer factors of 19408 that divides 19400 without a remainder.

1, 2, 4, 8, 16, 1213, 2426, 4852, 9704

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19400 and 19408. The biggest common factor number is the GCF number.
So the greatest common factor 19400 and 19408 is 8.

Also check out the Least Common Multiple of 19400 and 19408