What is the Greatest Common Factor of 21904 and 21908?

Greatest common factor (GCF) of 21904 and 21908 is 4.

GCF(21904,21908) = 4

We will now calculate the prime factors of 21904 and 21908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21904 and 21908.

How to find the GCF of 21904 and 21908?

We will first find the prime factorization of 21904 and 21908. After we will calculate the factors of 21904 and 21908 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 21908

Prime factors of 21908 are 2, 5477. Prime factorization of 21908 in exponential form is:

21908 = 2² × 5477¹

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 21908

List of positive integer factors of 21908 that divides 21904 without a remainder.

1, 2, 4, 5477, 10954

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21904 and 21908. The biggest common factor number is the GCF number.
So the greatest common factor 21904 and 21908 is 4.

Also check out the Least Common Multiple of 21904 and 21908