What is the Greatest Common Factor of 43662 and 43681?

Greatest common factor (GCF) of 43662 and 43681 is 19.

GCF(43662,43681) = 19

We will now calculate the prime factors of 43662 and 43681, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43662 and 43681.

How to find the GCF of 43662 and 43681?

We will first find the prime factorization of 43662 and 43681. After we will calculate the factors of 43662 and 43681 and find the biggest common factor number .

Step-1: Prime Factorization of 43662

Prime factors of 43662 are 2, 3, 19, 383. Prime factorization of 43662 in exponential form is:

43662 = 2¹ × 3¹ × 19¹ × 383¹

Step-2: Prime Factorization of 43681

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

43681 = 11² × 19²

Step-3: Factors of 43662

List of positive integer factors of 43662 that divides 43662 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 383, 766, 1149, 2298, 7277, 14554, 21831

Step-4: Factors of 43681

List of positive integer factors of 43681 that divides 43662 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43662 and 43681. The biggest common factor number is the GCF number.
So the greatest common factor 43662 and 43681 is 19.

Also check out the Least Common Multiple of 43662 and 43681