What is the Greatest Common Factor of 43893 and 43905?

Greatest common factor (GCF) of 43893 and 43905 is 3.

GCF(43893,43905) = 3

We will now calculate the prime factors of 43893 and 43905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43893 and 43905.

How to find the GCF of 43893 and 43905?

We will first find the prime factorization of 43893 and 43905. After we will calculate the factors of 43893 and 43905 and find the biggest common factor number .

Step-1: Prime Factorization of 43893

Prime factors of 43893 are 3, 4877. Prime factorization of 43893 in exponential form is:

43893 = 3² × 4877¹

Step-2: Prime Factorization of 43905

Prime factors of 43905 are 3, 5, 2927. Prime factorization of 43905 in exponential form is:

43905 = 3¹ × 5¹ × 2927¹

Step-3: Factors of 43893

List of positive integer factors of 43893 that divides 43893 without a remainder.

1, 3, 9, 4877, 14631

Step-4: Factors of 43905

List of positive integer factors of 43905 that divides 43893 without a remainder.

1, 3, 5, 15, 2927, 8781, 14635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43893 and 43905. The biggest common factor number is the GCF number.
So the greatest common factor 43893 and 43905 is 3.

Also check out the Least Common Multiple of 43893 and 43905