What is the Greatest Common Factor of 21081 and 21099?

Greatest common factor (GCF) of 21081 and 21099 is 3.

GCF(21081,21099) = 3

We will now calculate the prime factors of 21081 and 21099, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21081 and 21099.

How to find the GCF of 21081 and 21099?

We will first find the prime factorization of 21081 and 21099. After we will calculate the factors of 21081 and 21099 and find the biggest common factor number .

Step-1: Prime Factorization of 21081

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

21081 = 3¹ × 7027¹

Step-2: Prime Factorization of 21099

Prime factors of 21099 are 3, 13, 541. Prime factorization of 21099 in exponential form is:

21099 = 3¹ × 13¹ × 541¹

Step-3: Factors of 21081

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

1, 3, 7027

Step-4: Factors of 21099

List of positive integer factors of 21099 that divides 21081 without a remainder.

1, 3, 13, 39, 541, 1623, 7033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21081 and 21099. The biggest common factor number is the GCF number.
So the greatest common factor 21081 and 21099 is 3.

Also check out the Least Common Multiple of 21081 and 21099