What is the Greatest Common Factor of 27782 and 27793?

Greatest common factor (GCF) of 27782 and 27793 is 1.

GCF(27782,27793) = 1

We will now calculate the prime factors of 27782 and 27793, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27782 and 27793.

How to find the GCF of 27782 and 27793?

We will first find the prime factorization of 27782 and 27793. After we will calculate the factors of 27782 and 27793 and find the biggest common factor number .

Step-1: Prime Factorization of 27782

Prime factors of 27782 are 2, 29, 479. Prime factorization of 27782 in exponential form is:

27782 = 2¹ × 29¹ × 479¹

Step-2: Prime Factorization of 27793

Prime factors of 27793 are 27793. Prime factorization of 27793 in exponential form is:

27793 = 27793¹

Step-3: Factors of 27782

List of positive integer factors of 27782 that divides 27782 without a remainder.

1, 2, 29, 58, 479, 958, 13891

Step-4: Factors of 27793

List of positive integer factors of 27793 that divides 27782 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27782 and 27793. The biggest common factor number is the GCF number.
So the greatest common factor 27782 and 27793 is 1.

Also check out the Least Common Multiple of 27782 and 27793