What is the Greatest Common Factor of 27482 and 27496?

Greatest common factor (GCF) of 27482 and 27496 is 14.

GCF(27482,27496) = 14

We will now calculate the prime factors of 27482 and 27496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27482 and 27496.

How to find the GCF of 27482 and 27496?

We will first find the prime factorization of 27482 and 27496. After we will calculate the factors of 27482 and 27496 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27496

Prime factors of 27496 are 2, 7, 491. Prime factorization of 27496 in exponential form is:

27496 = 2³ × 7¹ × 491¹

Step-3: Factors of 27482

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

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

Step-4: Factors of 27496

List of positive integer factors of 27496 that divides 27482 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 491, 982, 1964, 3437, 3928, 6874, 13748

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27482 and 27496. The biggest common factor number is the GCF number.
So the greatest common factor 27482 and 27496 is 14.

Also check out the Least Common Multiple of 27482 and 27496