What is the Greatest Common Factor of 17184 and 17196?

Greatest common factor (GCF) of 17184 and 17196 is 12.

GCF(17184,17196) = 12

We will now calculate the prime factors of 17184 and 17196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17184 and 17196.

How to find the GCF of 17184 and 17196?

We will first find the prime factorization of 17184 and 17196. After we will calculate the factors of 17184 and 17196 and find the biggest common factor number .

Step-1: Prime Factorization of 17184

Prime factors of 17184 are 2, 3, 179. Prime factorization of 17184 in exponential form is:

17184 = 2⁵ × 3¹ × 179¹

Step-2: Prime Factorization of 17196

Prime factors of 17196 are 2, 3, 1433. Prime factorization of 17196 in exponential form is:

17196 = 2² × 3¹ × 1433¹

Step-3: Factors of 17184

List of positive integer factors of 17184 that divides 17184 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 179, 358, 537, 716, 1074, 1432, 2148, 2864, 4296, 5728, 8592

Step-4: Factors of 17196

List of positive integer factors of 17196 that divides 17184 without a remainder.

1, 2, 3, 4, 6, 12, 1433, 2866, 4299, 5732, 8598

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17184 and 17196. The biggest common factor number is the GCF number.
So the greatest common factor 17184 and 17196 is 12.

Also check out the Least Common Multiple of 17184 and 17196