What is the Greatest Common Factor of 20026 and 20044?

Greatest common factor (GCF) of 20026 and 20044 is 2.

GCF(20026,20044) = 2

We will now calculate the prime factors of 20026 and 20044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20026 and 20044.

How to find the GCF of 20026 and 20044?

We will first find the prime factorization of 20026 and 20044. After we will calculate the factors of 20026 and 20044 and find the biggest common factor number .

Step-1: Prime Factorization of 20026

Prime factors of 20026 are 2, 17, 19, 31. Prime factorization of 20026 in exponential form is:

20026 = 2¹ × 17¹ × 19¹ × 31¹

Step-2: Prime Factorization of 20044

Prime factors of 20044 are 2, 5011. Prime factorization of 20044 in exponential form is:

20044 = 2² × 5011¹

Step-3: Factors of 20026

List of positive integer factors of 20026 that divides 20026 without a remainder.

1, 2, 17, 19, 31, 34, 38, 62, 323, 527, 589, 646, 1054, 1178, 10013

Step-4: Factors of 20044

List of positive integer factors of 20044 that divides 20026 without a remainder.

1, 2, 4, 5011, 10022

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20026 and 20044. The biggest common factor number is the GCF number.
So the greatest common factor 20026 and 20044 is 2.

Also check out the Least Common Multiple of 20026 and 20044