What is the Greatest Common Factor of 20004 and 20016?

Greatest common factor (GCF) of 20004 and 20016 is 12.

GCF(20004,20016) = 12

We will now calculate the prime factors of 20004 and 20016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20004 and 20016.

How to find the GCF of 20004 and 20016?

We will first find the prime factorization of 20004 and 20016. After we will calculate the factors of 20004 and 20016 and find the biggest common factor number .

Step-1: Prime Factorization of 20004

Prime factors of 20004 are 2, 3, 1667. Prime factorization of 20004 in exponential form is:

20004 = 2² × 3¹ × 1667¹

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 20004

List of positive integer factors of 20004 that divides 20004 without a remainder.

1, 2, 3, 4, 6, 12, 1667, 3334, 5001, 6668, 10002

Step-4: Factors of 20016

List of positive integer factors of 20016 that divides 20004 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 20004 and 20016. The biggest common factor number is the GCF number.
So the greatest common factor 20004 and 20016 is 12.

Also check out the Least Common Multiple of 20004 and 20016