What is the Greatest Common Factor of 20424 and 20430?

Greatest common factor (GCF) of 20424 and 20430 is 6.

GCF(20424,20430) = 6

We will now calculate the prime factors of 20424 and 20430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20424 and 20430.

How to find the GCF of 20424 and 20430?

We will first find the prime factorization of 20424 and 20430. After we will calculate the factors of 20424 and 20430 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 20430

Prime factors of 20430 are 2, 3, 5, 227. Prime factorization of 20430 in exponential form is:

20430 = 2¹ × 3² × 5¹ × 227¹

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 20430

List of positive integer factors of 20430 that divides 20424 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 227, 454, 681, 1135, 1362, 2043, 2270, 3405, 4086, 6810, 10215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20424 and 20430. The biggest common factor number is the GCF number.
So the greatest common factor 20424 and 20430 is 6.

Also check out the Least Common Multiple of 20424 and 20430