What is the Greatest Common Factor of 27904 and 27920?

Greatest common factor (GCF) of 27904 and 27920 is 16.

GCF(27904,27920) = 16

We will now calculate the prime factors of 27904 and 27920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27904 and 27920.

How to find the GCF of 27904 and 27920?

We will first find the prime factorization of 27904 and 27920. After we will calculate the factors of 27904 and 27920 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 27920

Prime factors of 27920 are 2, 5, 349. Prime factorization of 27920 in exponential form is:

27920 = 2⁴ × 5¹ × 349¹

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 27920

List of positive integer factors of 27920 that divides 27904 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 349, 698, 1396, 1745, 2792, 3490, 5584, 6980, 13960

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27904 and 27920. The biggest common factor number is the GCF number.
So the greatest common factor 27904 and 27920 is 16.

Also check out the Least Common Multiple of 27904 and 27920