What is the Greatest Common Factor of 11184 and 11193?

Greatest common factor (GCF) of 11184 and 11193 is 3.

GCF(11184,11193) = 3

We will now calculate the prime factors of 11184 and 11193, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11184 and 11193.

How to find the GCF of 11184 and 11193?

We will first find the prime factorization of 11184 and 11193. After we will calculate the factors of 11184 and 11193 and find the biggest common factor number .

Step-1: Prime Factorization of 11184

Prime factors of 11184 are 2, 3, 233. Prime factorization of 11184 in exponential form is:

11184 = 2⁴ × 3¹ × 233¹

Step-2: Prime Factorization of 11193

Prime factors of 11193 are 3, 7, 13, 41. Prime factorization of 11193 in exponential form is:

11193 = 3¹ × 7¹ × 13¹ × 41¹

Step-3: Factors of 11184

List of positive integer factors of 11184 that divides 11184 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 233, 466, 699, 932, 1398, 1864, 2796, 3728, 5592

Step-4: Factors of 11193

List of positive integer factors of 11193 that divides 11184 without a remainder.

1, 3, 7, 13, 21, 39, 41, 91, 123, 273, 287, 533, 861, 1599, 3731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11184 and 11193. The biggest common factor number is the GCF number.
So the greatest common factor 11184 and 11193 is 3.

Also check out the Least Common Multiple of 11184 and 11193