What is the Greatest Common Factor of 27174 and 27189?

Greatest common factor (GCF) of 27174 and 27189 is 3.

GCF(27174,27189) = 3

We will now calculate the prime factors of 27174 and 27189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27174 and 27189.

How to find the GCF of 27174 and 27189?

We will first find the prime factorization of 27174 and 27189. After we will calculate the factors of 27174 and 27189 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27189

Prime factors of 27189 are 3, 19, 53. Prime factorization of 27189 in exponential form is:

27189 = 3³ × 19¹ × 53¹

Step-3: Factors of 27174

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

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

Step-4: Factors of 27189

List of positive integer factors of 27189 that divides 27174 without a remainder.

1, 3, 9, 19, 27, 53, 57, 159, 171, 477, 513, 1007, 1431, 3021, 9063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27174 and 27189. The biggest common factor number is the GCF number.
So the greatest common factor 27174 and 27189 is 3.

Also check out the Least Common Multiple of 27174 and 27189