What is the Greatest Common Factor of 27416 and 27427?

Greatest common factor (GCF) of 27416 and 27427 is 1.

GCF(27416,27427) = 1

We will now calculate the prime factors of 27416 and 27427, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27416 and 27427.

How to find the GCF of 27416 and 27427?

We will first find the prime factorization of 27416 and 27427. After we will calculate the factors of 27416 and 27427 and find the biggest common factor number .

Step-1: Prime Factorization of 27416

Prime factors of 27416 are 2, 23, 149. Prime factorization of 27416 in exponential form is:

27416 = 2³ × 23¹ × 149¹

Step-2: Prime Factorization of 27427

Prime factors of 27427 are 27427. Prime factorization of 27427 in exponential form is:

27427 = 27427¹

Step-3: Factors of 27416

List of positive integer factors of 27416 that divides 27416 without a remainder.

1, 2, 4, 8, 23, 46, 92, 149, 184, 298, 596, 1192, 3427, 6854, 13708

Step-4: Factors of 27427

List of positive integer factors of 27427 that divides 27416 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27416 and 27427. The biggest common factor number is the GCF number.
So the greatest common factor 27416 and 27427 is 1.

Also check out the Least Common Multiple of 27416 and 27427