What is the Greatest Common Factor of 43524 and 43535?

Greatest common factor (GCF) of 43524 and 43535 is 1.

GCF(43524,43535) = 1

We will now calculate the prime factors of 43524 and 43535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43524 and 43535.

How to find the GCF of 43524 and 43535?

We will first find the prime factorization of 43524 and 43535. After we will calculate the factors of 43524 and 43535 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 43535

Prime factors of 43535 are 5, 8707. Prime factorization of 43535 in exponential form is:

43535 = 5¹ × 8707¹

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 43535

List of positive integer factors of 43535 that divides 43524 without a remainder.

1, 5, 8707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43524 and 43535. The biggest common factor number is the GCF number.
So the greatest common factor 43524 and 43535 is 1.

Also check out the Least Common Multiple of 43524 and 43535