What is the Greatest Common Factor of 27189 and 27208?

Greatest common factor (GCF) of 27189 and 27208 is 19.

GCF(27189,27208) = 19

We will now calculate the prime factors of 27189 and 27208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27189 and 27208.

How to find the GCF of 27189 and 27208?

We will first find the prime factorization of 27189 and 27208. After we will calculate the factors of 27189 and 27208 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27208

Prime factors of 27208 are 2, 19, 179. Prime factorization of 27208 in exponential form is:

27208 = 2³ × 19¹ × 179¹

Step-3: Factors of 27189

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

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

Step-4: Factors of 27208

List of positive integer factors of 27208 that divides 27189 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 179, 358, 716, 1432, 3401, 6802, 13604

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27189 and 27208. The biggest common factor number is the GCF number.
So the greatest common factor 27189 and 27208 is 19.

Also check out the Least Common Multiple of 27189 and 27208