What is the Greatest Common Factor of 43894 and 43909?

Greatest common factor (GCF) of 43894 and 43909 is 1.

GCF(43894,43909) = 1

We will now calculate the prime factors of 43894 and 43909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43894 and 43909.

How to find the GCF of 43894 and 43909?

We will first find the prime factorization of 43894 and 43909. After we will calculate the factors of 43894 and 43909 and find the biggest common factor number .

Step-1: Prime Factorization of 43894

Prime factors of 43894 are 2, 17, 1291. Prime factorization of 43894 in exponential form is:

43894 = 2¹ × 17¹ × 1291¹

Step-2: Prime Factorization of 43909

Prime factors of 43909 are 19, 2311. Prime factorization of 43909 in exponential form is:

43909 = 19¹ × 2311¹

Step-3: Factors of 43894

List of positive integer factors of 43894 that divides 43894 without a remainder.

1, 2, 17, 34, 1291, 2582, 21947

Step-4: Factors of 43909

List of positive integer factors of 43909 that divides 43894 without a remainder.

1, 19, 2311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43894 and 43909. The biggest common factor number is the GCF number.
So the greatest common factor 43894 and 43909 is 1.

Also check out the Least Common Multiple of 43894 and 43909