What is the Greatest Common Factor of 27794 and 27809?

Greatest common factor (GCF) of 27794 and 27809 is 1.

GCF(27794,27809) = 1

We will now calculate the prime factors of 27794 and 27809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27794 and 27809.

How to find the GCF of 27794 and 27809?

We will first find the prime factorization of 27794 and 27809. After we will calculate the factors of 27794 and 27809 and find the biggest common factor number .

Step-1: Prime Factorization of 27794

Prime factors of 27794 are 2, 13, 1069. Prime factorization of 27794 in exponential form is:

27794 = 2¹ × 13¹ × 1069¹

Step-2: Prime Factorization of 27809

Prime factors of 27809 are 27809. Prime factorization of 27809 in exponential form is:

27809 = 27809¹

Step-3: Factors of 27794

List of positive integer factors of 27794 that divides 27794 without a remainder.

1, 2, 13, 26, 1069, 2138, 13897

Step-4: Factors of 27809

List of positive integer factors of 27809 that divides 27794 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27794 and 27809. The biggest common factor number is the GCF number.
So the greatest common factor 27794 and 27809 is 1.

Also check out the Least Common Multiple of 27794 and 27809