What is the Greatest Common Factor of 27168 and 27173?

Greatest common factor (GCF) of 27168 and 27173 is 1.

GCF(27168,27173) = 1

We will now calculate the prime factors of 27168 and 27173, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27168 and 27173.

How to find the GCF of 27168 and 27173?

We will first find the prime factorization of 27168 and 27173. After we will calculate the factors of 27168 and 27173 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 27173

Prime factors of 27173 are 29, 937. Prime factorization of 27173 in exponential form is:

27173 = 29¹ × 937¹

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 27173

List of positive integer factors of 27173 that divides 27168 without a remainder.

1, 29, 937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27168 and 27173. The biggest common factor number is the GCF number.
So the greatest common factor 27168 and 27173 is 1.

Also check out the Least Common Multiple of 27168 and 27173