What is the Greatest Common Factor of 43524 and 43540?

Greatest common factor (GCF) of 43524 and 43540 is 4.

GCF(43524,43540) = 4

We will now calculate the prime factors of 43524 and 43540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43524 and 43540.

How to find the GCF of 43524 and 43540?

We will first find the prime factorization of 43524 and 43540. After we will calculate the factors of 43524 and 43540 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 43540

Prime factors of 43540 are 2, 5, 7, 311. Prime factorization of 43540 in exponential form is:

43540 = 2² × 5¹ × 7¹ × 311¹

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 43540

List of positive integer factors of 43540 that divides 43524 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 311, 622, 1244, 1555, 2177, 3110, 4354, 6220, 8708, 10885, 21770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43524 and 43540. The biggest common factor number is the GCF number.
So the greatest common factor 43524 and 43540 is 4.

Also check out the Least Common Multiple of 43524 and 43540