What is the Greatest Common Factor of 43509 and 43524?

Greatest common factor (GCF) of 43509 and 43524 is 3.

GCF(43509,43524) = 3

We will now calculate the prime factors of 43509 and 43524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43509 and 43524.

How to find the GCF of 43509 and 43524?

We will first find the prime factorization of 43509 and 43524. After we will calculate the factors of 43509 and 43524 and find the biggest common factor number .

Step-1: Prime Factorization of 43509

Prime factors of 43509 are 3, 14503. Prime factorization of 43509 in exponential form is:

43509 = 3¹ × 14503¹

Step-2: Prime Factorization of 43524

Prime factors of 43524 are 2, 3, 13, 31. Prime factorization of 43524 in exponential form is:

43524 = 2² × 3³ × 13¹ × 31¹

Step-3: Factors of 43509

List of positive integer factors of 43509 that divides 43509 without a remainder.

1, 3, 14503

Step-4: Factors of 43524

List of positive integer factors of 43524 that divides 43509 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 31, 36, 39, 52, 54, 62, 78, 93, 108, 117, 124, 156, 186, 234, 279, 351, 372, 403, 468, 558, 702, 806, 837, 1116, 1209, 1404, 1612, 1674, 2418, 3348, 3627, 4836, 7254, 10881, 14508, 21762

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43509 and 43524. The biggest common factor number is the GCF number.
So the greatest common factor 43509 and 43524 is 3.

Also check out the Least Common Multiple of 43509 and 43524