What is the Greatest Common Factor of 20409 and 20418?

Greatest common factor (GCF) of 20409 and 20418 is 3.

GCF(20409,20418) = 3

We will now calculate the prime factors of 20409 and 20418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20409 and 20418.

How to find the GCF of 20409 and 20418?

We will first find the prime factorization of 20409 and 20418. After we will calculate the factors of 20409 and 20418 and find the biggest common factor number .

Step-1: Prime Factorization of 20409

Prime factors of 20409 are 3, 6803. Prime factorization of 20409 in exponential form is:

20409 = 3¹ × 6803¹

Step-2: Prime Factorization of 20418

Prime factors of 20418 are 2, 3, 41, 83. Prime factorization of 20418 in exponential form is:

20418 = 2¹ × 3¹ × 41¹ × 83¹

Step-3: Factors of 20409

List of positive integer factors of 20409 that divides 20409 without a remainder.

1, 3, 6803

Step-4: Factors of 20418

List of positive integer factors of 20418 that divides 20409 without a remainder.

1, 2, 3, 6, 41, 82, 83, 123, 166, 246, 249, 498, 3403, 6806, 10209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20409 and 20418. The biggest common factor number is the GCF number.
So the greatest common factor 20409 and 20418 is 3.

Also check out the Least Common Multiple of 20409 and 20418