What is the Greatest Common Factor of 27150 and 27168?

Greatest common factor (GCF) of 27150 and 27168 is 6.

GCF(27150,27168) = 6

We will now calculate the prime factors of 27150 and 27168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27150 and 27168.

How to find the GCF of 27150 and 27168?

We will first find the prime factorization of 27150 and 27168. After we will calculate the factors of 27150 and 27168 and find the biggest common factor number .

Step-1: Prime Factorization of 27150

Prime factors of 27150 are 2, 3, 5, 181. Prime factorization of 27150 in exponential form is:

27150 = 2¹ × 3¹ × 5² × 181¹

Step-2: 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-3: Factors of 27150

List of positive integer factors of 27150 that divides 27150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 181, 362, 543, 905, 1086, 1810, 2715, 4525, 5430, 9050, 13575

Step-4: Factors of 27168

List of positive integer factors of 27168 that divides 27150 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27150 and 27168. The biggest common factor number is the GCF number.
So the greatest common factor 27150 and 27168 is 6.

Also check out the Least Common Multiple of 27150 and 27168