What is the Greatest Common Factor of 21909 and 21927?

Greatest common factor (GCF) of 21909 and 21927 is 3.

GCF(21909,21927) = 3

We will now calculate the prime factors of 21909 and 21927, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21909 and 21927.

How to find the GCF of 21909 and 21927?

We will first find the prime factorization of 21909 and 21927. After we will calculate the factors of 21909 and 21927 and find the biggest common factor number .

Step-1: Prime Factorization of 21909

Prime factors of 21909 are 3, 67, 109. Prime factorization of 21909 in exponential form is:

21909 = 3¹ × 67¹ × 109¹

Step-2: Prime Factorization of 21927

Prime factors of 21927 are 3, 7309. Prime factorization of 21927 in exponential form is:

21927 = 3¹ × 7309¹

Step-3: Factors of 21909

List of positive integer factors of 21909 that divides 21909 without a remainder.

1, 3, 67, 109, 201, 327, 7303

Step-4: Factors of 21927

List of positive integer factors of 21927 that divides 21909 without a remainder.

1, 3, 7309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21909 and 21927. The biggest common factor number is the GCF number.
So the greatest common factor 21909 and 21927 is 3.

Also check out the Least Common Multiple of 21909 and 21927