What is the Greatest Common Factor of 43845 and 43859?

Greatest common factor (GCF) of 43845 and 43859 is 1.

GCF(43845,43859) = 1

We will now calculate the prime factors of 43845 and 43859, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43845 and 43859.

How to find the GCF of 43845 and 43859?

We will first find the prime factorization of 43845 and 43859. After we will calculate the factors of 43845 and 43859 and find the biggest common factor number .

Step-1: Prime Factorization of 43845

Prime factors of 43845 are 3, 5, 37, 79. Prime factorization of 43845 in exponential form is:

43845 = 3¹ × 5¹ × 37¹ × 79¹

Step-2: Prime Factorization of 43859

Prime factors of 43859 are 61, 719. Prime factorization of 43859 in exponential form is:

43859 = 61¹ × 719¹

Step-3: Factors of 43845

List of positive integer factors of 43845 that divides 43845 without a remainder.

1, 3, 5, 15, 37, 79, 111, 185, 237, 395, 555, 1185, 2923, 8769, 14615

Step-4: Factors of 43859

List of positive integer factors of 43859 that divides 43845 without a remainder.

1, 61, 719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43845 and 43859. The biggest common factor number is the GCF number.
So the greatest common factor 43845 and 43859 is 1.

Also check out the Least Common Multiple of 43845 and 43859