What is the Greatest Common Factor of 20430 and 20434?

Greatest common factor (GCF) of 20430 and 20434 is 2.

GCF(20430,20434) = 2

We will now calculate the prime factors of 20430 and 20434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20430 and 20434.

How to find the GCF of 20430 and 20434?

We will first find the prime factorization of 20430 and 20434. After we will calculate the factors of 20430 and 20434 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 20434

Prime factors of 20434 are 2, 17, 601. Prime factorization of 20434 in exponential form is:

20434 = 2¹ × 17¹ × 601¹

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 20434

List of positive integer factors of 20434 that divides 20430 without a remainder.

1, 2, 17, 34, 601, 1202, 10217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20430 and 20434. The biggest common factor number is the GCF number.
So the greatest common factor 20430 and 20434 is 2.

Also check out the Least Common Multiple of 20430 and 20434