What is the Greatest Common Factor of 20389 and 20406?

Greatest common factor (GCF) of 20389 and 20406 is 1.

GCF(20389,20406) = 1

We will now calculate the prime factors of 20389 and 20406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20389 and 20406.

How to find the GCF of 20389 and 20406?

We will first find the prime factorization of 20389 and 20406. After we will calculate the factors of 20389 and 20406 and find the biggest common factor number .

Step-1: Prime Factorization of 20389

Prime factors of 20389 are 20389. Prime factorization of 20389 in exponential form is:

20389 = 20389¹

Step-2: Prime Factorization of 20406

Prime factors of 20406 are 2, 3, 19, 179. Prime factorization of 20406 in exponential form is:

20406 = 2¹ × 3¹ × 19¹ × 179¹

Step-3: Factors of 20389

List of positive integer factors of 20389 that divides 20389 without a remainder.

Step-4: Factors of 20406

List of positive integer factors of 20406 that divides 20389 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 179, 358, 537, 1074, 3401, 6802, 10203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20389 and 20406. The biggest common factor number is the GCF number.
So the greatest common factor 20389 and 20406 is 1.

Also check out the Least Common Multiple of 20389 and 20406