What is the Greatest Common Factor of 40385 and 40400?

Greatest common factor (GCF) of 40385 and 40400 is 5.

GCF(40385,40400) = 5

We will now calculate the prime factors of 40385 and 40400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40385 and 40400.

How to find the GCF of 40385 and 40400?

We will first find the prime factorization of 40385 and 40400. After we will calculate the factors of 40385 and 40400 and find the biggest common factor number .

Step-1: Prime Factorization of 40385

Prime factors of 40385 are 5, 41, 197. Prime factorization of 40385 in exponential form is:

40385 = 5¹ × 41¹ × 197¹

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 40385

List of positive integer factors of 40385 that divides 40385 without a remainder.

1, 5, 41, 197, 205, 985, 8077

Step-4: Factors of 40400

List of positive integer factors of 40400 that divides 40385 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 40385 and 40400. The biggest common factor number is the GCF number.
So the greatest common factor 40385 and 40400 is 5.

Also check out the Least Common Multiple of 40385 and 40400