What is the Greatest Common Factor of 21918 and 21927?

Greatest common factor (GCF) of 21918 and 21927 is 3.

GCF(21918,21927) = 3

We will now calculate the prime factors of 21918 and 21927, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21918 and 21927.

How to find the GCF of 21918 and 21927?

We will first find the prime factorization of 21918 and 21927. After we will calculate the factors of 21918 and 21927 and find the biggest common factor number .

Step-1: Prime Factorization of 21918

Prime factors of 21918 are 2, 3, 13, 281. Prime factorization of 21918 in exponential form is:

21918 = 2¹ × 3¹ × 13¹ × 281¹

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 21918

List of positive integer factors of 21918 that divides 21918 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 281, 562, 843, 1686, 3653, 7306, 10959

Step-4: Factors of 21927

List of positive integer factors of 21927 that divides 21918 without a remainder.

1, 3, 7309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21918 and 21927. The biggest common factor number is the GCF number.
So the greatest common factor 21918 and 21927 is 3.

Also check out the Least Common Multiple of 21918 and 21927