What is the Greatest Common Factor of 20424 and 20444?

Greatest common factor (GCF) of 20424 and 20444 is 4.

GCF(20424,20444) = 4

We will now calculate the prime factors of 20424 and 20444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20424 and 20444.

How to find the GCF of 20424 and 20444?

We will first find the prime factorization of 20424 and 20444. After we will calculate the factors of 20424 and 20444 and find the biggest common factor number .

Step-1: Prime Factorization of 20424

Prime factors of 20424 are 2, 3, 23, 37. Prime factorization of 20424 in exponential form is:

20424 = 2³ × 3¹ × 23¹ × 37¹

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 20424

List of positive integer factors of 20424 that divides 20424 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 37, 46, 69, 74, 92, 111, 138, 148, 184, 222, 276, 296, 444, 552, 851, 888, 1702, 2553, 3404, 5106, 6808, 10212

Step-4: Factors of 20444

List of positive integer factors of 20444 that divides 20424 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 20424 and 20444. The biggest common factor number is the GCF number.
So the greatest common factor 20424 and 20444 is 4.

Also check out the Least Common Multiple of 20424 and 20444