What is the Greatest Common Factor of 21904 and 21916?

Greatest common factor (GCF) of 21904 and 21916 is 4.

GCF(21904,21916) = 4

We will now calculate the prime factors of 21904 and 21916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21904 and 21916.

How to find the GCF of 21904 and 21916?

We will first find the prime factorization of 21904 and 21916. After we will calculate the factors of 21904 and 21916 and find the biggest common factor number .

Step-1: Prime Factorization of 21904

Prime factors of 21904 are 2, 37. Prime factorization of 21904 in exponential form is:

21904 = 2⁴ × 37²

Step-2: Prime Factorization of 21916

Prime factors of 21916 are 2, 5479. Prime factorization of 21916 in exponential form is:

21916 = 2² × 5479¹

Step-3: Factors of 21904

List of positive integer factors of 21904 that divides 21904 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592, 1369, 2738, 5476, 10952

Step-4: Factors of 21916

List of positive integer factors of 21916 that divides 21904 without a remainder.

1, 2, 4, 5479, 10958

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21904 and 21916. The biggest common factor number is the GCF number.
So the greatest common factor 21904 and 21916 is 4.

Also check out the Least Common Multiple of 21904 and 21916