What is the Greatest Common Factor of 43564 and 43584?

Greatest common factor (GCF) of 43564 and 43584 is 4.

GCF(43564,43584) = 4

We will now calculate the prime factors of 43564 and 43584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43564 and 43584.

How to find the GCF of 43564 and 43584?

We will first find the prime factorization of 43564 and 43584. After we will calculate the factors of 43564 and 43584 and find the biggest common factor number .

Step-1: Prime Factorization of 43564

Prime factors of 43564 are 2, 10891. Prime factorization of 43564 in exponential form is:

43564 = 2² × 10891¹

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 43564

List of positive integer factors of 43564 that divides 43564 without a remainder.

1, 2, 4, 10891, 21782

Step-4: Factors of 43584

List of positive integer factors of 43584 that divides 43564 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 43564 and 43584. The biggest common factor number is the GCF number.
So the greatest common factor 43564 and 43584 is 4.

Also check out the Least Common Multiple of 43564 and 43584