What is the Greatest Common Factor of 27784 and 27796?

Greatest common factor (GCF) of 27784 and 27796 is 4.

GCF(27784,27796) = 4

We will now calculate the prime factors of 27784 and 27796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27784 and 27796.

How to find the GCF of 27784 and 27796?

We will first find the prime factorization of 27784 and 27796. After we will calculate the factors of 27784 and 27796 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27796

Prime factors of 27796 are 2, 6949. Prime factorization of 27796 in exponential form is:

27796 = 2² × 6949¹

Step-3: Factors of 27784

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

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

Step-4: Factors of 27796

List of positive integer factors of 27796 that divides 27784 without a remainder.

1, 2, 4, 6949, 13898

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27784 and 27796. The biggest common factor number is the GCF number.
So the greatest common factor 27784 and 27796 is 4.

Also check out the Least Common Multiple of 27784 and 27796