What is the Greatest Common Factor of 20000 and 20012?

Greatest common factor (GCF) of 20000 and 20012 is 4.

GCF(20000,20012) = 4

We will now calculate the prime factors of 20000 and 20012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20000 and 20012.

How to find the GCF of 20000 and 20012?

We will first find the prime factorization of 20000 and 20012. After we will calculate the factors of 20000 and 20012 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 20012

Prime factors of 20012 are 2, 5003. Prime factorization of 20012 in exponential form is:

20012 = 2² × 5003¹

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 20012

List of positive integer factors of 20012 that divides 20000 without a remainder.

1, 2, 4, 5003, 10006

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20000 and 20012. The biggest common factor number is the GCF number.
So the greatest common factor 20000 and 20012 is 4.

Also check out the Least Common Multiple of 20000 and 20012