What is the Greatest Common Factor of 20430 and 20448?

Greatest common factor (GCF) of 20430 and 20448 is 18.

GCF(20430,20448) = 18

We will now calculate the prime factors of 20430 and 20448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20430 and 20448.

How to find the GCF of 20430 and 20448?

We will first find the prime factorization of 20430 and 20448. After we will calculate the factors of 20430 and 20448 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20448

Prime factors of 20448 are 2, 3, 71. Prime factorization of 20448 in exponential form is:

20448 = 2⁵ × 3² × 71¹

Step-3: Factors of 20430

List of positive integer factors of 20430 that divides 20430 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

Step-4: Factors of 20448

List of positive integer factors of 20448 that divides 20430 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 71, 72, 96, 142, 144, 213, 284, 288, 426, 568, 639, 852, 1136, 1278, 1704, 2272, 2556, 3408, 5112, 6816, 10224

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20430 and 20448. The biggest common factor number is the GCF number.
So the greatest common factor 20430 and 20448 is 18.

Also check out the Least Common Multiple of 20430 and 20448