What is the Greatest Common Factor of 21856 and 21875?

Greatest common factor (GCF) of 21856 and 21875 is 1.

GCF(21856,21875) = 1

We will now calculate the prime factors of 21856 and 21875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21856 and 21875.

How to find the GCF of 21856 and 21875?

We will first find the prime factorization of 21856 and 21875. After we will calculate the factors of 21856 and 21875 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 21875

Prime factors of 21875 are 5, 7. Prime factorization of 21875 in exponential form is:

21875 = 5⁵ × 7¹

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 21875

List of positive integer factors of 21875 that divides 21856 without a remainder.

1, 5, 7, 25, 35, 125, 175, 625, 875, 3125, 4375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21856 and 21875. The biggest common factor number is the GCF number.
So the greatest common factor 21856 and 21875 is 1.

Also check out the Least Common Multiple of 21856 and 21875