What is the Greatest Common Factor of 40400 and 40408?

Greatest common factor (GCF) of 40400 and 40408 is 8.

GCF(40400,40408) = 8

We will now calculate the prime factors of 40400 and 40408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40400 and 40408.

How to find the GCF of 40400 and 40408?

We will first find the prime factorization of 40400 and 40408. After we will calculate the factors of 40400 and 40408 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 40408

Prime factors of 40408 are 2, 5051. Prime factorization of 40408 in exponential form is:

40408 = 2³ × 5051¹

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 40408

List of positive integer factors of 40408 that divides 40400 without a remainder.

1, 2, 4, 8, 5051, 10102, 20204

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40400 and 40408. The biggest common factor number is the GCF number.
So the greatest common factor 40400 and 40408 is 8.

Also check out the Least Common Multiple of 40400 and 40408