What is the Greatest Common Factor of 21344 and 21348?

Greatest common factor (GCF) of 21344 and 21348 is 4.

GCF(21344,21348) = 4

We will now calculate the prime factors of 21344 and 21348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21344 and 21348.

How to find the GCF of 21344 and 21348?

We will first find the prime factorization of 21344 and 21348. After we will calculate the factors of 21344 and 21348 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21348

Prime factors of 21348 are 2, 3, 593. Prime factorization of 21348 in exponential form is:

21348 = 2² × 3² × 593¹

Step-3: Factors of 21344

List of positive integer factors of 21344 that divides 21344 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

Step-4: Factors of 21348

List of positive integer factors of 21348 that divides 21344 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 593, 1186, 1779, 2372, 3558, 5337, 7116, 10674

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21344 and 21348. The biggest common factor number is the GCF number.
So the greatest common factor 21344 and 21348 is 4.

Also check out the Least Common Multiple of 21344 and 21348