What is the Greatest Common Factor of 43512 and 43524?

Greatest common factor (GCF) of 43512 and 43524 is 12.

GCF(43512,43524) = 12

We will now calculate the prime factors of 43512 and 43524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43512 and 43524.

How to find the GCF of 43512 and 43524?

We will first find the prime factorization of 43512 and 43524. After we will calculate the factors of 43512 and 43524 and find the biggest common factor number .

Step-1: Prime Factorization of 43512

Prime factors of 43512 are 2, 3, 7, 37. Prime factorization of 43512 in exponential form is:

43512 = 2³ × 3¹ × 7² × 37¹

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 43512

List of positive integer factors of 43512 that divides 43512 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 37, 42, 49, 56, 74, 84, 98, 111, 147, 148, 168, 196, 222, 259, 294, 296, 392, 444, 518, 588, 777, 888, 1036, 1176, 1554, 1813, 2072, 3108, 3626, 5439, 6216, 7252, 10878, 14504, 21756

Step-4: Factors of 43524

List of positive integer factors of 43524 that divides 43512 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 43512 and 43524. The biggest common factor number is the GCF number.
So the greatest common factor 43512 and 43524 is 12.

Also check out the Least Common Multiple of 43512 and 43524