What is the Greatest Common Factor of 20412 and 20430?

Greatest common factor (GCF) of 20412 and 20430 is 18.

GCF(20412,20430) = 18

We will now calculate the prime factors of 20412 and 20430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20412 and 20430.

How to find the GCF of 20412 and 20430?

We will first find the prime factorization of 20412 and 20430. After we will calculate the factors of 20412 and 20430 and find the biggest common factor number .

Step-1: Prime Factorization of 20412

Prime factors of 20412 are 2, 3, 7. Prime factorization of 20412 in exponential form is:

20412 = 2² × 3⁶ × 7¹

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 20412

List of positive integer factors of 20412 that divides 20412 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 243, 252, 324, 378, 486, 567, 729, 756, 972, 1134, 1458, 1701, 2268, 2916, 3402, 5103, 6804, 10206

Step-4: Factors of 20430

List of positive integer factors of 20430 that divides 20412 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 20412 and 20430. The biggest common factor number is the GCF number.
So the greatest common factor 20412 and 20430 is 18.

Also check out the Least Common Multiple of 20412 and 20430