What is the Greatest Common Factor of 27191 and 27208?

Greatest common factor (GCF) of 27191 and 27208 is 1.

GCF(27191,27208) = 1

We will now calculate the prime factors of 27191 and 27208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27191 and 27208.

How to find the GCF of 27191 and 27208?

We will first find the prime factorization of 27191 and 27208. After we will calculate the factors of 27191 and 27208 and find the biggest common factor number .

Step-1: Prime Factorization of 27191

Prime factors of 27191 are 27191. Prime factorization of 27191 in exponential form is:

27191 = 27191¹

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 27191

List of positive integer factors of 27191 that divides 27191 without a remainder.

Step-4: Factors of 27208

List of positive integer factors of 27208 that divides 27191 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 27191 and 27208. The biggest common factor number is the GCF number.
So the greatest common factor 27191 and 27208 is 1.

Also check out the Least Common Multiple of 27191 and 27208