What is the Greatest Common Factor of 19390 and 19400?

Greatest common factor (GCF) of 19390 and 19400 is 10.

GCF(19390,19400) = 10

We will now calculate the prime factors of 19390 and 19400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19390 and 19400.

How to find the GCF of 19390 and 19400?

We will first find the prime factorization of 19390 and 19400. After we will calculate the factors of 19390 and 19400 and find the biggest common factor number .

Step-1: Prime Factorization of 19390

Prime factors of 19390 are 2, 5, 7, 277. Prime factorization of 19390 in exponential form is:

19390 = 2¹ × 5¹ × 7¹ × 277¹

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 19390

List of positive integer factors of 19390 that divides 19390 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 277, 554, 1385, 1939, 2770, 3878, 9695

Step-4: Factors of 19400

List of positive integer factors of 19400 that divides 19390 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 19390 and 19400. The biggest common factor number is the GCF number.
So the greatest common factor 19390 and 19400 is 10.

Also check out the Least Common Multiple of 19390 and 19400