What is the Greatest Common Factor of 21872 and 21881?

Greatest common factor (GCF) of 21872 and 21881 is 1.

GCF(21872,21881) = 1

We will now calculate the prime factors of 21872 and 21881, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21872 and 21881.

How to find the GCF of 21872 and 21881?

We will first find the prime factorization of 21872 and 21881. After we will calculate the factors of 21872 and 21881 and find the biggest common factor number .

Step-1: Prime Factorization of 21872

Prime factors of 21872 are 2, 1367. Prime factorization of 21872 in exponential form is:

21872 = 2⁴ × 1367¹

Step-2: Prime Factorization of 21881

Prime factors of 21881 are 21881. Prime factorization of 21881 in exponential form is:

21881 = 21881¹

Step-3: Factors of 21872

List of positive integer factors of 21872 that divides 21872 without a remainder.

1, 2, 4, 8, 16, 1367, 2734, 5468, 10936

Step-4: Factors of 21881

List of positive integer factors of 21881 that divides 21872 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21872 and 21881. The biggest common factor number is the GCF number.
So the greatest common factor 21872 and 21881 is 1.

Also check out the Least Common Multiple of 21872 and 21881