What is the Greatest Common Factor of 40400 and 40409?

Greatest common factor (GCF) of 40400 and 40409 is 1.

GCF(40400,40409) = 1

We will now calculate the prime factors of 40400 and 40409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40400 and 40409.

How to find the GCF of 40400 and 40409?

We will first find the prime factorization of 40400 and 40409. After we will calculate the factors of 40400 and 40409 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40409

Prime factors of 40409 are 17, 2377. Prime factorization of 40409 in exponential form is:

40409 = 17¹ × 2377¹

Step-3: Factors of 40400

List of positive integer factors of 40400 that divides 40400 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

Step-4: Factors of 40409

List of positive integer factors of 40409 that divides 40400 without a remainder.

1, 17, 2377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40400 and 40409. The biggest common factor number is the GCF number.
So the greatest common factor 40400 and 40409 is 1.

Also check out the Least Common Multiple of 40400 and 40409