What is the Greatest Common Factor of 43845 and 43861?

Greatest common factor (GCF) of 43845 and 43861 is 1.

GCF(43845,43861) = 1

We will now calculate the prime factors of 43845 and 43861, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43845 and 43861.

How to find the GCF of 43845 and 43861?

We will first find the prime factorization of 43845 and 43861. After we will calculate the factors of 43845 and 43861 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 43861

Prime factors of 43861 are 23, 1907. Prime factorization of 43861 in exponential form is:

43861 = 23¹ × 1907¹

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 43861

List of positive integer factors of 43861 that divides 43845 without a remainder.

1, 23, 1907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43845 and 43861. The biggest common factor number is the GCF number.
So the greatest common factor 43845 and 43861 is 1.

Also check out the Least Common Multiple of 43845 and 43861