What is the Greatest Common Factor of 27165 and 27174?

Greatest common factor (GCF) of 27165 and 27174 is 3.

GCF(27165,27174) = 3

We will now calculate the prime factors of 27165 and 27174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27165 and 27174.

How to find the GCF of 27165 and 27174?

We will first find the prime factorization of 27165 and 27174. After we will calculate the factors of 27165 and 27174 and find the biggest common factor number .

Step-1: Prime Factorization of 27165

Prime factors of 27165 are 3, 5, 1811. Prime factorization of 27165 in exponential form is:

27165 = 3¹ × 5¹ × 1811¹

Step-2: Prime Factorization of 27174

Prime factors of 27174 are 2, 3, 7, 647. Prime factorization of 27174 in exponential form is:

27174 = 2¹ × 3¹ × 7¹ × 647¹

Step-3: Factors of 27165

List of positive integer factors of 27165 that divides 27165 without a remainder.

1, 3, 5, 15, 1811, 5433, 9055

Step-4: Factors of 27174

List of positive integer factors of 27174 that divides 27165 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 647, 1294, 1941, 3882, 4529, 9058, 13587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27165 and 27174. The biggest common factor number is the GCF number.
So the greatest common factor 27165 and 27174 is 3.

Also check out the Least Common Multiple of 27165 and 27174