What is the Greatest Common Factor of 27168 and 27172?

Greatest common factor (GCF) of 27168 and 27172 is 4.

GCF(27168,27172) = 4

We will now calculate the prime factors of 27168 and 27172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27168 and 27172.

How to find the GCF of 27168 and 27172?

We will first find the prime factorization of 27168 and 27172. After we will calculate the factors of 27168 and 27172 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 27172

Prime factors of 27172 are 2, 6793. Prime factorization of 27172 in exponential form is:

27172 = 2² × 6793¹

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 27172

List of positive integer factors of 27172 that divides 27168 without a remainder.

1, 2, 4, 6793, 13586

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27168 and 27172. The biggest common factor number is the GCF number.
So the greatest common factor 27168 and 27172 is 4.

Also check out the Least Common Multiple of 27168 and 27172