What is the Greatest Common Factor of 43824 and 43843?

Greatest common factor (GCF) of 43824 and 43843 is 1.

GCF(43824,43843) = 1

We will now calculate the prime factors of 43824 and 43843, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43824 and 43843.

How to find the GCF of 43824 and 43843?

We will first find the prime factorization of 43824 and 43843. After we will calculate the factors of 43824 and 43843 and find the biggest common factor number .

Step-1: Prime Factorization of 43824

Prime factors of 43824 are 2, 3, 11, 83. Prime factorization of 43824 in exponential form is:

43824 = 2⁴ × 3¹ × 11¹ × 83¹

Step-2: Prime Factorization of 43843

Prime factors of 43843 are 17, 2579. Prime factorization of 43843 in exponential form is:

43843 = 17¹ × 2579¹

Step-3: Factors of 43824

List of positive integer factors of 43824 that divides 43824 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 83, 88, 132, 166, 176, 249, 264, 332, 498, 528, 664, 913, 996, 1328, 1826, 1992, 2739, 3652, 3984, 5478, 7304, 10956, 14608, 21912

Step-4: Factors of 43843

List of positive integer factors of 43843 that divides 43824 without a remainder.

1, 17, 2579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43824 and 43843. The biggest common factor number is the GCF number.
So the greatest common factor 43824 and 43843 is 1.

Also check out the Least Common Multiple of 43824 and 43843