What is the Greatest Common Factor of 8000 and 8016?

Greatest common factor (GCF) of 8000 and 8016 is 16.

GCF(8000,8016) = 16

We will now calculate the prime factors of 8000 and 8016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8000 and 8016.

How to find the GCF of 8000 and 8016?

We will first find the prime factorization of 8000 and 8016. After we will calculate the factors of 8000 and 8016 and find the biggest common factor number .

Step-1: Prime Factorization of 8000

Prime factors of 8000 are 2, 5. Prime factorization of 8000 in exponential form is:

8000 = 2⁶ × 5³

Step-2: Prime Factorization of 8016

Prime factors of 8016 are 2, 3, 167. Prime factorization of 8016 in exponential form is:

8016 = 2⁴ × 3¹ × 167¹

Step-3: Factors of 8000

List of positive integer factors of 8000 that divides 8000 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, 800, 1000, 1600, 2000, 4000

Step-4: Factors of 8016

List of positive integer factors of 8016 that divides 8000 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 167, 334, 501, 668, 1002, 1336, 2004, 2672, 4008

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8000 and 8016. The biggest common factor number is the GCF number.
So the greatest common factor 8000 and 8016 is 16.

Also check out the Least Common Multiple of 8000 and 8016