What is the Greatest Common Factor of 27471 and 27482?

Greatest common factor (GCF) of 27471 and 27482 is 1.

GCF(27471,27482) = 1

We will now calculate the prime factors of 27471 and 27482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27471 and 27482.

How to find the GCF of 27471 and 27482?

We will first find the prime factorization of 27471 and 27482. After we will calculate the factors of 27471 and 27482 and find the biggest common factor number .

Step-1: Prime Factorization of 27471

Prime factors of 27471 are 3, 9157. Prime factorization of 27471 in exponential form is:

27471 = 3¹ × 9157¹

Step-2: Prime Factorization of 27482

Prime factors of 27482 are 2, 7, 13, 151. Prime factorization of 27482 in exponential form is:

27482 = 2¹ × 7¹ × 13¹ × 151¹

Step-3: Factors of 27471

List of positive integer factors of 27471 that divides 27471 without a remainder.

1, 3, 9157

Step-4: Factors of 27482

List of positive integer factors of 27482 that divides 27471 without a remainder.

1, 2, 7, 13, 14, 26, 91, 151, 182, 302, 1057, 1963, 2114, 3926, 13741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27471 and 27482. The biggest common factor number is the GCF number.
So the greatest common factor 27471 and 27482 is 1.

Also check out the Least Common Multiple of 27471 and 27482