What is the Greatest Common Factor of 21882 and 21898?

Greatest common factor (GCF) of 21882 and 21898 is 2.

GCF(21882,21898) = 2

We will now calculate the prime factors of 21882 and 21898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21882 and 21898.

How to find the GCF of 21882 and 21898?

We will first find the prime factorization of 21882 and 21898. After we will calculate the factors of 21882 and 21898 and find the biggest common factor number .

Step-1: Prime Factorization of 21882

Prime factors of 21882 are 2, 3, 7, 521. Prime factorization of 21882 in exponential form is:

21882 = 2¹ × 3¹ × 7¹ × 521¹

Step-2: Prime Factorization of 21898

Prime factors of 21898 are 2, 10949. Prime factorization of 21898 in exponential form is:

21898 = 2¹ × 10949¹

Step-3: Factors of 21882

List of positive integer factors of 21882 that divides 21882 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 521, 1042, 1563, 3126, 3647, 7294, 10941

Step-4: Factors of 21898

List of positive integer factors of 21898 that divides 21882 without a remainder.

1, 2, 10949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21882 and 21898. The biggest common factor number is the GCF number.
So the greatest common factor 21882 and 21898 is 2.

Also check out the Least Common Multiple of 21882 and 21898