What is the Greatest Common Factor of 43587 and 43599?

Greatest common factor (GCF) of 43587 and 43599 is 3.

GCF(43587,43599) = 3

We will now calculate the prime factors of 43587 and 43599, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43587 and 43599.

How to find the GCF of 43587 and 43599?

We will first find the prime factorization of 43587 and 43599. After we will calculate the factors of 43587 and 43599 and find the biggest common factor number .

Step-1: Prime Factorization of 43587

Prime factors of 43587 are 3, 29, 167. Prime factorization of 43587 in exponential form is:

43587 = 3² × 29¹ × 167¹

Step-2: Prime Factorization of 43599

Prime factors of 43599 are 3, 14533. Prime factorization of 43599 in exponential form is:

43599 = 3¹ × 14533¹

Step-3: Factors of 43587

List of positive integer factors of 43587 that divides 43587 without a remainder.

1, 3, 9, 29, 87, 167, 261, 501, 1503, 4843, 14529

Step-4: Factors of 43599

List of positive integer factors of 43599 that divides 43587 without a remainder.

1, 3, 14533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43587 and 43599. The biggest common factor number is the GCF number.
So the greatest common factor 43587 and 43599 is 3.

Also check out the Least Common Multiple of 43587 and 43599