What is the Greatest Common Factor of 27289 and 27294?

Greatest common factor (GCF) of 27289 and 27294 is 1.

GCF(27289,27294) = 1

We will now calculate the prime factors of 27289 and 27294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27289 and 27294.

How to find the GCF of 27289 and 27294?

We will first find the prime factorization of 27289 and 27294. After we will calculate the factors of 27289 and 27294 and find the biggest common factor number .

Step-1: Prime Factorization of 27289

Prime factors of 27289 are 29, 941. Prime factorization of 27289 in exponential form is:

27289 = 29¹ × 941¹

Step-2: Prime Factorization of 27294

Prime factors of 27294 are 2, 3, 4549. Prime factorization of 27294 in exponential form is:

27294 = 2¹ × 3¹ × 4549¹

Step-3: Factors of 27289

List of positive integer factors of 27289 that divides 27289 without a remainder.

1, 29, 941

Step-4: Factors of 27294

List of positive integer factors of 27294 that divides 27289 without a remainder.

1, 2, 3, 6, 4549, 9098, 13647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27289 and 27294. The biggest common factor number is the GCF number.
So the greatest common factor 27289 and 27294 is 1.

Also check out the Least Common Multiple of 27289 and 27294