What is the Greatest Common Factor of 43870 and 43887?

Greatest common factor (GCF) of 43870 and 43887 is 1.

GCF(43870,43887) = 1

We will now calculate the prime factors of 43870 and 43887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43870 and 43887.

How to find the GCF of 43870 and 43887?

We will first find the prime factorization of 43870 and 43887. After we will calculate the factors of 43870 and 43887 and find the biggest common factor number .

Step-1: Prime Factorization of 43870

Prime factors of 43870 are 2, 5, 41, 107. Prime factorization of 43870 in exponential form is:

43870 = 2¹ × 5¹ × 41¹ × 107¹

Step-2: Prime Factorization of 43887

Prime factors of 43887 are 3, 14629. Prime factorization of 43887 in exponential form is:

43887 = 3¹ × 14629¹

Step-3: Factors of 43870

List of positive integer factors of 43870 that divides 43870 without a remainder.

1, 2, 5, 10, 41, 82, 107, 205, 214, 410, 535, 1070, 4387, 8774, 21935

Step-4: Factors of 43887

List of positive integer factors of 43887 that divides 43870 without a remainder.

1, 3, 14629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43870 and 43887. The biggest common factor number is the GCF number.
So the greatest common factor 43870 and 43887 is 1.

Also check out the Least Common Multiple of 43870 and 43887