What is the Greatest Common Factor of 20000 and 20016?

Greatest common factor (GCF) of 20000 and 20016 is 16.

GCF(20000,20016) = 16

We will now calculate the prime factors of 20000 and 20016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20000 and 20016.

How to find the GCF of 20000 and 20016?

We will first find the prime factorization of 20000 and 20016. After we will calculate the factors of 20000 and 20016 and find the biggest common factor number .

Step-1: Prime Factorization of 20000

Prime factors of 20000 are 2, 5. Prime factorization of 20000 in exponential form is:

20000 = 2⁵ × 5⁴

Step-2: Prime Factorization of 20016

Prime factors of 20016 are 2, 3, 139. Prime factorization of 20016 in exponential form is:

20016 = 2⁴ × 3² × 139¹

Step-3: Factors of 20000

List of positive integer factors of 20000 that divides 20000 without a remainder.

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

Step-4: Factors of 20016

List of positive integer factors of 20016 that divides 20000 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 139, 144, 278, 417, 556, 834, 1112, 1251, 1668, 2224, 2502, 3336, 5004, 6672, 10008

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20000 and 20016. The biggest common factor number is the GCF number.
So the greatest common factor 20000 and 20016 is 16.

Also check out the Least Common Multiple of 20000 and 20016