What is the Greatest Common Factor of 17184 and 17192?

Greatest common factor (GCF) of 17184 and 17192 is 8.

GCF(17184,17192) = 8

We will now calculate the prime factors of 17184 and 17192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17184 and 17192.

How to find the GCF of 17184 and 17192?

We will first find the prime factorization of 17184 and 17192. After we will calculate the factors of 17184 and 17192 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 17192

Prime factors of 17192 are 2, 7, 307. Prime factorization of 17192 in exponential form is:

17192 = 2³ × 7¹ × 307¹

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 17192

List of positive integer factors of 17192 that divides 17184 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 307, 614, 1228, 2149, 2456, 4298, 8596

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17184 and 17192. The biggest common factor number is the GCF number.
So the greatest common factor 17184 and 17192 is 8.

Also check out the Least Common Multiple of 17184 and 17192