What is the Greatest Common Factor of 21440 and 21449?

Greatest common factor (GCF) of 21440 and 21449 is 1.

GCF(21440,21449) = 1

We will now calculate the prime factors of 21440 and 21449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21440 and 21449.

How to find the GCF of 21440 and 21449?

We will first find the prime factorization of 21440 and 21449. After we will calculate the factors of 21440 and 21449 and find the biggest common factor number .

Step-1: Prime Factorization of 21440

Prime factors of 21440 are 2, 5, 67. Prime factorization of 21440 in exponential form is:

21440 = 2⁶ × 5¹ × 67¹

Step-2: Prime Factorization of 21449

Prime factors of 21449 are 89, 241. Prime factorization of 21449 in exponential form is:

21449 = 89¹ × 241¹

Step-3: Factors of 21440

List of positive integer factors of 21440 that divides 21440 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 67, 80, 134, 160, 268, 320, 335, 536, 670, 1072, 1340, 2144, 2680, 4288, 5360, 10720

Step-4: Factors of 21449

List of positive integer factors of 21449 that divides 21440 without a remainder.

1, 89, 241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21440 and 21449. The biggest common factor number is the GCF number.
So the greatest common factor 21440 and 21449 is 1.

Also check out the Least Common Multiple of 21440 and 21449