What is the Greatest Common Factor of 27778 and 27784?

Greatest common factor (GCF) of 27778 and 27784 is 2.

GCF(27778,27784) = 2

We will now calculate the prime factors of 27778 and 27784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27778 and 27784.

How to find the GCF of 27778 and 27784?

We will first find the prime factorization of 27778 and 27784. After we will calculate the factors of 27778 and 27784 and find the biggest common factor number .

Step-1: Prime Factorization of 27778

Prime factors of 27778 are 2, 17, 19, 43. Prime factorization of 27778 in exponential form is:

27778 = 2¹ × 17¹ × 19¹ × 43¹

Step-2: Prime Factorization of 27784

Prime factors of 27784 are 2, 23, 151. Prime factorization of 27784 in exponential form is:

27784 = 2³ × 23¹ × 151¹

Step-3: Factors of 27778

List of positive integer factors of 27778 that divides 27778 without a remainder.

1, 2, 17, 19, 34, 38, 43, 86, 323, 646, 731, 817, 1462, 1634, 13889

Step-4: Factors of 27784

List of positive integer factors of 27784 that divides 27778 without a remainder.

1, 2, 4, 8, 23, 46, 92, 151, 184, 302, 604, 1208, 3473, 6946, 13892

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27778 and 27784. The biggest common factor number is the GCF number.
So the greatest common factor 27778 and 27784 is 2.

Also check out the Least Common Multiple of 27778 and 27784