What is the Greatest Common Factor of 80000 and 80016?

Greatest common factor (GCF) of 80000 and 80016 is 16.

GCF(80000,80016) = 16

We will now calculate the prime factors of 80000 and 80016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80000 and 80016.

How to find the GCF of 80000 and 80016?

We will first find the prime factorization of 80000 and 80016. After we will calculate the factors of 80000 and 80016 and find the biggest common factor number .

Step-1: Prime Factorization of 80000

Prime factors of 80000 are 2, 5. Prime factorization of 80000 in exponential form is:

80000 = 2⁷ × 5⁴

Step-2: Prime Factorization of 80016

Prime factors of 80016 are 2, 3, 1667. Prime factorization of 80016 in exponential form is:

80016 = 2⁴ × 3¹ × 1667¹

Step-3: Factors of 80000

List of positive integer factors of 80000 that divides 80000 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, 625, 640, 800, 1000, 1250, 1600, 2000, 2500, 3200, 4000, 5000, 8000, 10000, 16000, 20000, 40000

Step-4: Factors of 80016

List of positive integer factors of 80016 that divides 80000 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1667, 3334, 5001, 6668, 10002, 13336, 20004, 26672, 40008

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80000 and 80016. The biggest common factor number is the GCF number.
So the greatest common factor 80000 and 80016 is 16.

Also check out the Least Common Multiple of 80000 and 80016