What is the Greatest Common Factor of 20409 and 20428?

Greatest common factor (GCF) of 20409 and 20428 is 1.

GCF(20409,20428) = 1

We will now calculate the prime factors of 20409 and 20428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20409 and 20428.

How to find the GCF of 20409 and 20428?

We will first find the prime factorization of 20409 and 20428. After we will calculate the factors of 20409 and 20428 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 20428

Prime factors of 20428 are 2, 5107. Prime factorization of 20428 in exponential form is:

20428 = 2² × 5107¹

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 20428

List of positive integer factors of 20428 that divides 20409 without a remainder.

1, 2, 4, 5107, 10214

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20409 and 20428. The biggest common factor number is the GCF number.
So the greatest common factor 20409 and 20428 is 1.

Also check out the Least Common Multiple of 20409 and 20428