What is the Greatest Common Factor of 43821 and 43829?

Greatest common factor (GCF) of 43821 and 43829 is 1.

GCF(43821,43829) = 1

We will now calculate the prime factors of 43821 and 43829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43821 and 43829.

How to find the GCF of 43821 and 43829?

We will first find the prime factorization of 43821 and 43829. After we will calculate the factors of 43821 and 43829 and find the biggest common factor number .

Step-1: Prime Factorization of 43821

Prime factors of 43821 are 3, 541. Prime factorization of 43821 in exponential form is:

43821 = 3⁴ × 541¹

Step-2: Prime Factorization of 43829

Prime factors of 43829 are 41, 1069. Prime factorization of 43829 in exponential form is:

43829 = 41¹ × 1069¹

Step-3: Factors of 43821

List of positive integer factors of 43821 that divides 43821 without a remainder.

1, 3, 9, 27, 81, 541, 1623, 4869, 14607

Step-4: Factors of 43829

List of positive integer factors of 43829 that divides 43821 without a remainder.

1, 41, 1069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43821 and 43829. The biggest common factor number is the GCF number.
So the greatest common factor 43821 and 43829 is 1.

Also check out the Least Common Multiple of 43821 and 43829