What is the Greatest Common Factor of 20466 and 20484?

Greatest common factor (GCF) of 20466 and 20484 is 18.

GCF(20466,20484) = 18

We will now calculate the prime factors of 20466 and 20484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20466 and 20484.

How to find the GCF of 20466 and 20484?

We will first find the prime factorization of 20466 and 20484. After we will calculate the factors of 20466 and 20484 and find the biggest common factor number .

Step-1: Prime Factorization of 20466

Prime factors of 20466 are 2, 3, 379. Prime factorization of 20466 in exponential form is:

20466 = 2¹ × 3³ × 379¹

Step-2: Prime Factorization of 20484

Prime factors of 20484 are 2, 3, 569. Prime factorization of 20484 in exponential form is:

20484 = 2² × 3² × 569¹

Step-3: Factors of 20466

List of positive integer factors of 20466 that divides 20466 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 379, 758, 1137, 2274, 3411, 6822, 10233

Step-4: Factors of 20484

List of positive integer factors of 20484 that divides 20466 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 569, 1138, 1707, 2276, 3414, 5121, 6828, 10242

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20466 and 20484. The biggest common factor number is the GCF number.
So the greatest common factor 20466 and 20484 is 18.

Also check out the Least Common Multiple of 20466 and 20484