What is the Greatest Common Factor of 21856 and 21866?

Greatest common factor (GCF) of 21856 and 21866 is 2.

GCF(21856,21866) = 2

We will now calculate the prime factors of 21856 and 21866, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21856 and 21866.

How to find the GCF of 21856 and 21866?

We will first find the prime factorization of 21856 and 21866. After we will calculate the factors of 21856 and 21866 and find the biggest common factor number .

Step-1: Prime Factorization of 21856

Prime factors of 21856 are 2, 683. Prime factorization of 21856 in exponential form is:

21856 = 2⁵ × 683¹

Step-2: Prime Factorization of 21866

Prime factors of 21866 are 2, 13, 29. Prime factorization of 21866 in exponential form is:

21866 = 2¹ × 13¹ × 29²

Step-3: Factors of 21856

List of positive integer factors of 21856 that divides 21856 without a remainder.

1, 2, 4, 8, 16, 32, 683, 1366, 2732, 5464, 10928

Step-4: Factors of 21866

List of positive integer factors of 21866 that divides 21856 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754, 841, 1682, 10933

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21856 and 21866. The biggest common factor number is the GCF number.
So the greatest common factor 21856 and 21866 is 2.

Also check out the Least Common Multiple of 21856 and 21866