What is the Greatest Common Factor of 43524 and 43532?

Greatest common factor (GCF) of 43524 and 43532 is 4.

GCF(43524,43532) = 4

We will now calculate the prime factors of 43524 and 43532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43524 and 43532.

How to find the GCF of 43524 and 43532?

We will first find the prime factorization of 43524 and 43532. After we will calculate the factors of 43524 and 43532 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 43532

Prime factors of 43532 are 2, 10883. Prime factorization of 43532 in exponential form is:

43532 = 2² × 10883¹

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 43532

List of positive integer factors of 43532 that divides 43524 without a remainder.

1, 2, 4, 10883, 21766

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43524 and 43532. The biggest common factor number is the GCF number.
So the greatest common factor 43524 and 43532 is 4.

Also check out the Least Common Multiple of 43524 and 43532