What is the Greatest Common Factor of 40000 and 40016?

Greatest common factor (GCF) of 40000 and 40016 is 16.

GCF(40000,40016) = 16

We will now calculate the prime factors of 40000 and 40016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40000 and 40016.

How to find the GCF of 40000 and 40016?

We will first find the prime factorization of 40000 and 40016. After we will calculate the factors of 40000 and 40016 and find the biggest common factor number .

Step-1: Prime Factorization of 40000

Prime factors of 40000 are 2, 5. Prime factorization of 40000 in exponential form is:

40000 = 2⁶ × 5⁴

Step-2: Prime Factorization of 40016

Prime factors of 40016 are 2, 41, 61. Prime factorization of 40016 in exponential form is:

40016 = 2⁴ × 41¹ × 61¹

Step-3: Factors of 40000

List of positive integer factors of 40000 that divides 40000 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 625, 800, 1000, 1250, 1600, 2000, 2500, 4000, 5000, 8000, 10000, 20000

Step-4: Factors of 40016

List of positive integer factors of 40016 that divides 40000 without a remainder.

1, 2, 4, 8, 16, 41, 61, 82, 122, 164, 244, 328, 488, 656, 976, 2501, 5002, 10004, 20008

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40000 and 40016. The biggest common factor number is the GCF number.
So the greatest common factor 40000 and 40016 is 16.

Also check out the Least Common Multiple of 40000 and 40016