What is the Greatest Common Factor of 16000 and 16004?

Greatest common factor (GCF) of 16000 and 16004 is 4.

GCF(16000,16004) = 4

We will now calculate the prime factors of 16000 and 16004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16000 and 16004.

How to find the GCF of 16000 and 16004?

We will first find the prime factorization of 16000 and 16004. After we will calculate the factors of 16000 and 16004 and find the biggest common factor number .

Step-1: Prime Factorization of 16000

Prime factors of 16000 are 2, 5. Prime factorization of 16000 in exponential form is:

16000 = 2⁷ × 5³

Step-2: Prime Factorization of 16004

Prime factors of 16004 are 2, 4001. Prime factorization of 16004 in exponential form is:

16004 = 2² × 4001¹

Step-3: Factors of 16000

List of positive integer factors of 16000 that divides 16000 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 128, 160, 200, 250, 320, 400, 500, 640, 800, 1000, 1600, 2000, 3200, 4000, 8000

Step-4: Factors of 16004

List of positive integer factors of 16004 that divides 16000 without a remainder.

1, 2, 4, 4001, 8002

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16000 and 16004. The biggest common factor number is the GCF number.
So the greatest common factor 16000 and 16004 is 4.

Also check out the Least Common Multiple of 16000 and 16004