What is the Greatest Common Factor of 43578 and 43584?

Greatest common factor (GCF) of 43578 and 43584 is 6.

GCF(43578,43584) = 6

We will now calculate the prime factors of 43578 and 43584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43578 and 43584.

How to find the GCF of 43578 and 43584?

We will first find the prime factorization of 43578 and 43584. After we will calculate the factors of 43578 and 43584 and find the biggest common factor number .

Step-1: Prime Factorization of 43578

Prime factors of 43578 are 2, 3, 269. Prime factorization of 43578 in exponential form is:

43578 = 2¹ × 3⁴ × 269¹

Step-2: Prime Factorization of 43584

Prime factors of 43584 are 2, 3, 227. Prime factorization of 43584 in exponential form is:

43584 = 2⁶ × 3¹ × 227¹

Step-3: Factors of 43578

List of positive integer factors of 43578 that divides 43578 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 269, 538, 807, 1614, 2421, 4842, 7263, 14526, 21789

Step-4: Factors of 43584

List of positive integer factors of 43584 that divides 43578 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 227, 454, 681, 908, 1362, 1816, 2724, 3632, 5448, 7264, 10896, 14528, 21792

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43578 and 43584. The biggest common factor number is the GCF number.
So the greatest common factor 43578 and 43584 is 6.

Also check out the Least Common Multiple of 43578 and 43584