What is the Greatest Common Factor of 43845 and 43851?

Greatest common factor (GCF) of 43845 and 43851 is 3.

GCF(43845,43851) = 3

We will now calculate the prime factors of 43845 and 43851, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43845 and 43851.

How to find the GCF of 43845 and 43851?

We will first find the prime factorization of 43845 and 43851. After we will calculate the factors of 43845 and 43851 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 43851

Prime factors of 43851 are 3, 47, 311. Prime factorization of 43851 in exponential form is:

43851 = 3¹ × 47¹ × 311¹

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 43851

List of positive integer factors of 43851 that divides 43845 without a remainder.

1, 3, 47, 141, 311, 933, 14617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43845 and 43851. The biggest common factor number is the GCF number.
So the greatest common factor 43845 and 43851 is 3.

Also check out the Least Common Multiple of 43845 and 43851