What is the Greatest Common Factor of 40382 and 40400?

Greatest common factor (GCF) of 40382 and 40400 is 2.

GCF(40382,40400) = 2

We will now calculate the prime factors of 40382 and 40400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40382 and 40400.

How to find the GCF of 40382 and 40400?

We will first find the prime factorization of 40382 and 40400. After we will calculate the factors of 40382 and 40400 and find the biggest common factor number .

Step-1: Prime Factorization of 40382

Prime factors of 40382 are 2, 61, 331. Prime factorization of 40382 in exponential form is:

40382 = 2¹ × 61¹ × 331¹

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 40382

List of positive integer factors of 40382 that divides 40382 without a remainder.

1, 2, 61, 122, 331, 662, 20191

Step-4: Factors of 40400

List of positive integer factors of 40400 that divides 40382 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 40382 and 40400. The biggest common factor number is the GCF number.
So the greatest common factor 40382 and 40400 is 2.

Also check out the Least Common Multiple of 40382 and 40400