What is the Greatest Common Factor of 20413 and 20430?

Greatest common factor (GCF) of 20413 and 20430 is 1.

GCF(20413,20430) = 1

We will now calculate the prime factors of 20413 and 20430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20413 and 20430.

How to find the GCF of 20413 and 20430?

We will first find the prime factorization of 20413 and 20430. After we will calculate the factors of 20413 and 20430 and find the biggest common factor number .

Step-1: Prime Factorization of 20413

Prime factors of 20413 are 137, 149. Prime factorization of 20413 in exponential form is:

20413 = 137¹ × 149¹

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 20413

List of positive integer factors of 20413 that divides 20413 without a remainder.

1, 137, 149

Step-4: Factors of 20430

List of positive integer factors of 20430 that divides 20413 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 20413 and 20430. The biggest common factor number is the GCF number.
So the greatest common factor 20413 and 20430 is 1.

Also check out the Least Common Multiple of 20413 and 20430