What is the Greatest Common Factor of 21886 and 21904?

Greatest common factor (GCF) of 21886 and 21904 is 2.

GCF(21886,21904) = 2

We will now calculate the prime factors of 21886 and 21904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21886 and 21904.

How to find the GCF of 21886 and 21904?

We will first find the prime factorization of 21886 and 21904. After we will calculate the factors of 21886 and 21904 and find the biggest common factor number .

Step-1: Prime Factorization of 21886

Prime factors of 21886 are 2, 31, 353. Prime factorization of 21886 in exponential form is:

21886 = 2¹ × 31¹ × 353¹

Step-2: Prime Factorization of 21904

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

21904 = 2⁴ × 37²

Step-3: Factors of 21886

List of positive integer factors of 21886 that divides 21886 without a remainder.

1, 2, 31, 62, 353, 706, 10943

Step-4: Factors of 21904

List of positive integer factors of 21904 that divides 21886 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21886 and 21904. The biggest common factor number is the GCF number.
So the greatest common factor 21886 and 21904 is 2.

Also check out the Least Common Multiple of 21886 and 21904