What is the Greatest Common Factor of 21456 and 21474?

Greatest common factor (GCF) of 21456 and 21474 is 18.

GCF(21456,21474) = 18

We will now calculate the prime factors of 21456 and 21474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21456 and 21474.

How to find the GCF of 21456 and 21474?

We will first find the prime factorization of 21456 and 21474. After we will calculate the factors of 21456 and 21474 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21474

Prime factors of 21474 are 2, 3, 1193. Prime factorization of 21474 in exponential form is:

21474 = 2¹ × 3² × 1193¹

Step-3: Factors of 21456

List of positive integer factors of 21456 that divides 21456 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

Step-4: Factors of 21474

List of positive integer factors of 21474 that divides 21456 without a remainder.

1, 2, 3, 6, 9, 18, 1193, 2386, 3579, 7158, 10737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21456 and 21474. The biggest common factor number is the GCF number.
So the greatest common factor 21456 and 21474 is 18.

Also check out the Least Common Multiple of 21456 and 21474