What is the Greatest Common Factor of 17172 and 17184?

Greatest common factor (GCF) of 17172 and 17184 is 12.

GCF(17172,17184) = 12

We will now calculate the prime factors of 17172 and 17184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17172 and 17184.

How to find the GCF of 17172 and 17184?

We will first find the prime factorization of 17172 and 17184. After we will calculate the factors of 17172 and 17184 and find the biggest common factor number .

Step-1: Prime Factorization of 17172

Prime factors of 17172 are 2, 3, 53. Prime factorization of 17172 in exponential form is:

17172 = 2² × 3⁴ × 53¹

Step-2: 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-3: Factors of 17172

List of positive integer factors of 17172 that divides 17172 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 53, 54, 81, 106, 108, 159, 162, 212, 318, 324, 477, 636, 954, 1431, 1908, 2862, 4293, 5724, 8586

Step-4: Factors of 17184

List of positive integer factors of 17184 that divides 17172 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17172 and 17184. The biggest common factor number is the GCF number.
So the greatest common factor 17172 and 17184 is 12.

Also check out the Least Common Multiple of 17172 and 17184