What is the Greatest Common Factor of 27168 and 27183?

Greatest common factor (GCF) of 27168 and 27183 is 3.

GCF(27168,27183) = 3

We will now calculate the prime factors of 27168 and 27183, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27168 and 27183.

How to find the GCF of 27168 and 27183?

We will first find the prime factorization of 27168 and 27183. After we will calculate the factors of 27168 and 27183 and find the biggest common factor number .

Step-1: Prime Factorization of 27168

Prime factors of 27168 are 2, 3, 283. Prime factorization of 27168 in exponential form is:

27168 = 2⁵ × 3¹ × 283¹

Step-2: Prime Factorization of 27183

Prime factors of 27183 are 3, 13, 17, 41. Prime factorization of 27183 in exponential form is:

27183 = 3¹ × 13¹ × 17¹ × 41¹

Step-3: Factors of 27168

List of positive integer factors of 27168 that divides 27168 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 283, 566, 849, 1132, 1698, 2264, 3396, 4528, 6792, 9056, 13584

Step-4: Factors of 27183

List of positive integer factors of 27183 that divides 27168 without a remainder.

1, 3, 13, 17, 39, 41, 51, 123, 221, 533, 663, 697, 1599, 2091, 9061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27168 and 27183. The biggest common factor number is the GCF number.
So the greatest common factor 27168 and 27183 is 3.

Also check out the Least Common Multiple of 27168 and 27183