What is the Greatest Common Factor of 20439 and 20444?

Greatest common factor (GCF) of 20439 and 20444 is 1.

GCF(20439,20444) = 1

We will now calculate the prime factors of 20439 and 20444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20439 and 20444.

How to find the GCF of 20439 and 20444?

We will first find the prime factorization of 20439 and 20444. After we will calculate the factors of 20439 and 20444 and find the biggest common factor number .

Step-1: Prime Factorization of 20439

Prime factors of 20439 are 3, 757. Prime factorization of 20439 in exponential form is:

20439 = 3³ × 757¹

Step-2: Prime Factorization of 20444

Prime factors of 20444 are 2, 19, 269. Prime factorization of 20444 in exponential form is:

20444 = 2² × 19¹ × 269¹

Step-3: Factors of 20439

List of positive integer factors of 20439 that divides 20439 without a remainder.

1, 3, 9, 27, 757, 2271, 6813

Step-4: Factors of 20444

List of positive integer factors of 20444 that divides 20439 without a remainder.

1, 2, 4, 19, 38, 76, 269, 538, 1076, 5111, 10222

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20439 and 20444. The biggest common factor number is the GCF number.
So the greatest common factor 20439 and 20444 is 1.

Also check out the Least Common Multiple of 20439 and 20444