What is the Greatest Common Factor of 21068 and 21081?

Greatest common factor (GCF) of 21068 and 21081 is 1.

GCF(21068,21081) = 1

We will now calculate the prime factors of 21068 and 21081, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21068 and 21081.

How to find the GCF of 21068 and 21081?

We will first find the prime factorization of 21068 and 21081. After we will calculate the factors of 21068 and 21081 and find the biggest common factor number .

Step-1: Prime Factorization of 21068

Prime factors of 21068 are 2, 23, 229. Prime factorization of 21068 in exponential form is:

21068 = 2² × 23¹ × 229¹

Step-2: Prime Factorization of 21081

Prime factors of 21081 are 3, 7027. Prime factorization of 21081 in exponential form is:

21081 = 3¹ × 7027¹

Step-3: Factors of 21068

List of positive integer factors of 21068 that divides 21068 without a remainder.

1, 2, 4, 23, 46, 92, 229, 458, 916, 5267, 10534

Step-4: Factors of 21081

List of positive integer factors of 21081 that divides 21068 without a remainder.

1, 3, 7027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21068 and 21081. The biggest common factor number is the GCF number.
So the greatest common factor 21068 and 21081 is 1.

Also check out the Least Common Multiple of 21068 and 21081