What is the Greatest Common Factor of 21444 and 21456?

Greatest common factor (GCF) of 21444 and 21456 is 12.

GCF(21444,21456) = 12

We will now calculate the prime factors of 21444 and 21456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21444 and 21456.

How to find the GCF of 21444 and 21456?

We will first find the prime factorization of 21444 and 21456. After we will calculate the factors of 21444 and 21456 and find the biggest common factor number .

Step-1: Prime Factorization of 21444

Prime factors of 21444 are 2, 3, 1787. Prime factorization of 21444 in exponential form is:

21444 = 2² × 3¹ × 1787¹

Step-2: Prime Factorization of 21456

Prime factors of 21456 are 2, 3, 149. Prime factorization of 21456 in exponential form is:

21456 = 2⁴ × 3² × 149¹

Step-3: Factors of 21444

List of positive integer factors of 21444 that divides 21444 without a remainder.

1, 2, 3, 4, 6, 12, 1787, 3574, 5361, 7148, 10722

Step-4: Factors of 21456

List of positive integer factors of 21456 that divides 21444 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 149, 298, 447, 596, 894, 1192, 1341, 1788, 2384, 2682, 3576, 5364, 7152, 10728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21444 and 21456. The biggest common factor number is the GCF number.
So the greatest common factor 21444 and 21456 is 12.

Also check out the Least Common Multiple of 21444 and 21456