What is the Greatest Common Factor of 43681 and 43699?

Greatest common factor (GCF) of 43681 and 43699 is 1.

GCF(43681,43699) = 1

We will now calculate the prime factors of 43681 and 43699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43681 and 43699.

How to find the GCF of 43681 and 43699?

We will first find the prime factorization of 43681 and 43699. After we will calculate the factors of 43681 and 43699 and find the biggest common factor number .

Step-1: Prime Factorization of 43681

Prime factors of 43681 are 11, 19. Prime factorization of 43681 in exponential form is:

43681 = 11² × 19²

Step-2: Prime Factorization of 43699

Prime factors of 43699 are 89, 491. Prime factorization of 43699 in exponential form is:

43699 = 89¹ × 491¹

Step-3: Factors of 43681

List of positive integer factors of 43681 that divides 43681 without a remainder.

1, 11, 19, 121, 209, 361, 2299, 3971

Step-4: Factors of 43699

List of positive integer factors of 43699 that divides 43681 without a remainder.

1, 89, 491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43681 and 43699. The biggest common factor number is the GCF number.
So the greatest common factor 43681 and 43699 is 1.

Also check out the Least Common Multiple of 43681 and 43699