What is the Greatest Common Factor of 21912 and 21927?

Greatest common factor (GCF) of 21912 and 21927 is 3.

GCF(21912,21927) = 3

We will now calculate the prime factors of 21912 and 21927, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21912 and 21927.

How to find the GCF of 21912 and 21927?

We will first find the prime factorization of 21912 and 21927. After we will calculate the factors of 21912 and 21927 and find the biggest common factor number .

Step-1: Prime Factorization of 21912

Prime factors of 21912 are 2, 3, 11, 83. Prime factorization of 21912 in exponential form is:

21912 = 2³ × 3¹ × 11¹ × 83¹

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 21912

List of positive integer factors of 21912 that divides 21912 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 83, 88, 132, 166, 249, 264, 332, 498, 664, 913, 996, 1826, 1992, 2739, 3652, 5478, 7304, 10956

Step-4: Factors of 21927

List of positive integer factors of 21927 that divides 21912 without a remainder.

1, 3, 7309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21912 and 21927. The biggest common factor number is the GCF number.
So the greatest common factor 21912 and 21927 is 3.

Also check out the Least Common Multiple of 21912 and 21927