What is the Greatest Common Factor of 20028 and 20038?

Greatest common factor (GCF) of 20028 and 20038 is 2.

GCF(20028,20038) = 2

We will now calculate the prime factors of 20028 and 20038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20028 and 20038.

How to find the GCF of 20028 and 20038?

We will first find the prime factorization of 20028 and 20038. After we will calculate the factors of 20028 and 20038 and find the biggest common factor number .

Step-1: Prime Factorization of 20028

Prime factors of 20028 are 2, 3, 1669. Prime factorization of 20028 in exponential form is:

20028 = 2² × 3¹ × 1669¹

Step-2: Prime Factorization of 20038

Prime factors of 20038 are 2, 43, 233. Prime factorization of 20038 in exponential form is:

20038 = 2¹ × 43¹ × 233¹

Step-3: Factors of 20028

List of positive integer factors of 20028 that divides 20028 without a remainder.

1, 2, 3, 4, 6, 12, 1669, 3338, 5007, 6676, 10014

Step-4: Factors of 20038

List of positive integer factors of 20038 that divides 20028 without a remainder.

1, 2, 43, 86, 233, 466, 10019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20028 and 20038. The biggest common factor number is the GCF number.
So the greatest common factor 20028 and 20038 is 2.

Also check out the Least Common Multiple of 20028 and 20038