What is the Greatest Common Factor of 27416 and 27422?

Greatest common factor (GCF) of 27416 and 27422 is 2.

GCF(27416,27422) = 2

We will now calculate the prime factors of 27416 and 27422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27416 and 27422.

How to find the GCF of 27416 and 27422?

We will first find the prime factorization of 27416 and 27422. After we will calculate the factors of 27416 and 27422 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 27422

Prime factors of 27422 are 2, 13711. Prime factorization of 27422 in exponential form is:

27422 = 2¹ × 13711¹

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 27422

List of positive integer factors of 27422 that divides 27416 without a remainder.

1, 2, 13711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27416 and 27422. The biggest common factor number is the GCF number.
So the greatest common factor 27416 and 27422 is 2.

Also check out the Least Common Multiple of 27416 and 27422