What is the Greatest Common Factor of 20406 and 20423?

Greatest common factor (GCF) of 20406 and 20423 is 1.

GCF(20406,20423) = 1

We will now calculate the prime factors of 20406 and 20423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20406 and 20423.

How to find the GCF of 20406 and 20423?

We will first find the prime factorization of 20406 and 20423. After we will calculate the factors of 20406 and 20423 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20423

Prime factors of 20423 are 13, 1571. Prime factorization of 20423 in exponential form is:

20423 = 13¹ × 1571¹

Step-3: Factors of 20406

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

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

Step-4: Factors of 20423

List of positive integer factors of 20423 that divides 20406 without a remainder.

1, 13, 1571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20406 and 20423. The biggest common factor number is the GCF number.
So the greatest common factor 20406 and 20423 is 1.

Also check out the Least Common Multiple of 20406 and 20423