What is the Greatest Common Factor of 21324 and 21344?

Greatest common factor (GCF) of 21324 and 21344 is 4.

GCF(21324,21344) = 4

We will now calculate the prime factors of 21324 and 21344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21324 and 21344.

How to find the GCF of 21324 and 21344?

We will first find the prime factorization of 21324 and 21344. After we will calculate the factors of 21324 and 21344 and find the biggest common factor number .

Step-1: Prime Factorization of 21324

Prime factors of 21324 are 2, 3, 1777. Prime factorization of 21324 in exponential form is:

21324 = 2² × 3¹ × 1777¹

Step-2: Prime Factorization of 21344

Prime factors of 21344 are 2, 23, 29. Prime factorization of 21344 in exponential form is:

21344 = 2⁵ × 23¹ × 29¹

Step-3: Factors of 21324

List of positive integer factors of 21324 that divides 21324 without a remainder.

1, 2, 3, 4, 6, 12, 1777, 3554, 5331, 7108, 10662

Step-4: Factors of 21344

List of positive integer factors of 21344 that divides 21324 without a remainder.

1, 2, 4, 8, 16, 23, 29, 32, 46, 58, 92, 116, 184, 232, 368, 464, 667, 736, 928, 1334, 2668, 5336, 10672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21324 and 21344. The biggest common factor number is the GCF number.
So the greatest common factor 21324 and 21344 is 4.

Also check out the Least Common Multiple of 21324 and 21344