What is the Greatest Common Factor of 27904 and 27908?

Greatest common factor (GCF) of 27904 and 27908 is 4.

GCF(27904,27908) = 4

We will now calculate the prime factors of 27904 and 27908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27904 and 27908.

How to find the GCF of 27904 and 27908?

We will first find the prime factorization of 27904 and 27908. After we will calculate the factors of 27904 and 27908 and find the biggest common factor number .

Step-1: Prime Factorization of 27904

Prime factors of 27904 are 2, 109. Prime factorization of 27904 in exponential form is:

27904 = 2⁸ × 109¹

Step-2: Prime Factorization of 27908

Prime factors of 27908 are 2, 6977. Prime factorization of 27908 in exponential form is:

27908 = 2² × 6977¹

Step-3: Factors of 27904

List of positive integer factors of 27904 that divides 27904 without a remainder.

1, 2, 4, 8, 16, 32, 64, 109, 128, 218, 256, 436, 872, 1744, 3488, 6976, 13952

Step-4: Factors of 27908

List of positive integer factors of 27908 that divides 27904 without a remainder.

1, 2, 4, 6977, 13954

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27904 and 27908. The biggest common factor number is the GCF number.
So the greatest common factor 27904 and 27908 is 4.

Also check out the Least Common Multiple of 27904 and 27908