What is the Greatest Common Factor of 21824 and 21843?

Greatest common factor (GCF) of 21824 and 21843 is 1.

GCF(21824,21843) = 1

We will now calculate the prime factors of 21824 and 21843, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21824 and 21843.

How to find the GCF of 21824 and 21843?

We will first find the prime factorization of 21824 and 21843. After we will calculate the factors of 21824 and 21843 and find the biggest common factor number .

Step-1: Prime Factorization of 21824

Prime factors of 21824 are 2, 11, 31. Prime factorization of 21824 in exponential form is:

21824 = 2⁶ × 11¹ × 31¹

Step-2: Prime Factorization of 21843

Prime factors of 21843 are 3, 809. Prime factorization of 21843 in exponential form is:

21843 = 3³ × 809¹

Step-3: Factors of 21824

List of positive integer factors of 21824 that divides 21824 without a remainder.

1, 2, 4, 8, 11, 16, 22, 31, 32, 44, 62, 64, 88, 124, 176, 248, 341, 352, 496, 682, 704, 992, 1364, 1984, 2728, 5456, 10912

Step-4: Factors of 21843

List of positive integer factors of 21843 that divides 21824 without a remainder.

1, 3, 9, 27, 809, 2427, 7281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21824 and 21843. The biggest common factor number is the GCF number.
So the greatest common factor 21824 and 21843 is 1.

Also check out the Least Common Multiple of 21824 and 21843