What is the Greatest Common Factor of 83184 and 83193?

Greatest common factor (GCF) of 83184 and 83193 is 3.

GCF(83184,83193) = 3

We will now calculate the prime factors of 83184 and 83193, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83184 and 83193.

How to find the GCF of 83184 and 83193?

We will first find the prime factorization of 83184 and 83193. After we will calculate the factors of 83184 and 83193 and find the biggest common factor number .

Step-1: Prime Factorization of 83184

Prime factors of 83184 are 2, 3, 1733. Prime factorization of 83184 in exponential form is:

83184 = 2⁴ × 3¹ × 1733¹

Step-2: Prime Factorization of 83193

Prime factors of 83193 are 3, 11, 2521. Prime factorization of 83193 in exponential form is:

83193 = 3¹ × 11¹ × 2521¹

Step-3: Factors of 83184

List of positive integer factors of 83184 that divides 83184 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1733, 3466, 5199, 6932, 10398, 13864, 20796, 27728, 41592

Step-4: Factors of 83193

List of positive integer factors of 83193 that divides 83184 without a remainder.

1, 3, 11, 33, 2521, 7563, 27731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83184 and 83193. The biggest common factor number is the GCF number.
So the greatest common factor 83184 and 83193 is 3.

Also check out the Least Common Multiple of 83184 and 83193