What is the Greatest Common Factor of 43524 and 43541?

Greatest common factor (GCF) of 43524 and 43541 is 1.

GCF(43524,43541) = 1

We will now calculate the prime factors of 43524 and 43541, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43524 and 43541.

How to find the GCF of 43524 and 43541?

We will first find the prime factorization of 43524 and 43541. After we will calculate the factors of 43524 and 43541 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43541

Prime factors of 43541 are 43541. Prime factorization of 43541 in exponential form is:

43541 = 43541¹

Step-3: Factors of 43524

List of positive integer factors of 43524 that divides 43524 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

Step-4: Factors of 43541

List of positive integer factors of 43541 that divides 43524 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43524 and 43541. The biggest common factor number is the GCF number.
So the greatest common factor 43524 and 43541 is 1.

Also check out the Least Common Multiple of 43524 and 43541