What is the Greatest Common Factor of 40384 and 40400?

Greatest common factor (GCF) of 40384 and 40400 is 16.

GCF(40384,40400) = 16

We will now calculate the prime factors of 40384 and 40400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40384 and 40400.

How to find the GCF of 40384 and 40400?

We will first find the prime factorization of 40384 and 40400. After we will calculate the factors of 40384 and 40400 and find the biggest common factor number .

Step-1: Prime Factorization of 40384

Prime factors of 40384 are 2, 631. Prime factorization of 40384 in exponential form is:

40384 = 2⁶ × 631¹

Step-2: Prime Factorization of 40400

Prime factors of 40400 are 2, 5, 101. Prime factorization of 40400 in exponential form is:

40400 = 2⁴ × 5² × 101¹

Step-3: Factors of 40384

List of positive integer factors of 40384 that divides 40384 without a remainder.

1, 2, 4, 8, 16, 32, 64, 631, 1262, 2524, 5048, 10096, 20192

Step-4: Factors of 40400

List of positive integer factors of 40400 that divides 40384 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 101, 200, 202, 400, 404, 505, 808, 1010, 1616, 2020, 2525, 4040, 5050, 8080, 10100, 20200

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40384 and 40400. The biggest common factor number is the GCF number.
So the greatest common factor 40384 and 40400 is 16.

Also check out the Least Common Multiple of 40384 and 40400