What is the Greatest Common Factor of 20184 and 20198?

Greatest common factor (GCF) of 20184 and 20198 is 2.

GCF(20184,20198) = 2

We will now calculate the prime factors of 20184 and 20198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20184 and 20198.

How to find the GCF of 20184 and 20198?

We will first find the prime factorization of 20184 and 20198. After we will calculate the factors of 20184 and 20198 and find the biggest common factor number .

Step-1: Prime Factorization of 20184

Prime factors of 20184 are 2, 3, 29. Prime factorization of 20184 in exponential form is:

20184 = 2³ × 3¹ × 29²

Step-2: Prime Factorization of 20198

Prime factors of 20198 are 2, 10099. Prime factorization of 20198 in exponential form is:

20198 = 2¹ × 10099¹

Step-3: Factors of 20184

List of positive integer factors of 20184 that divides 20184 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696, 841, 1682, 2523, 3364, 5046, 6728, 10092

Step-4: Factors of 20198

List of positive integer factors of 20198 that divides 20184 without a remainder.

1, 2, 10099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20184 and 20198. The biggest common factor number is the GCF number.
So the greatest common factor 20184 and 20198 is 2.

Also check out the Least Common Multiple of 20184 and 20198