What is the Greatest Common Factor of 43568 and 43578?

Greatest common factor (GCF) of 43568 and 43578 is 2.

GCF(43568,43578) = 2

We will now calculate the prime factors of 43568 and 43578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43568 and 43578.

How to find the GCF of 43568 and 43578?

We will first find the prime factorization of 43568 and 43578. After we will calculate the factors of 43568 and 43578 and find the biggest common factor number .

Step-1: Prime Factorization of 43568

Prime factors of 43568 are 2, 7, 389. Prime factorization of 43568 in exponential form is:

43568 = 2⁴ × 7¹ × 389¹

Step-2: 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-3: Factors of 43568

List of positive integer factors of 43568 that divides 43568 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 389, 778, 1556, 2723, 3112, 5446, 6224, 10892, 21784

Step-4: Factors of 43578

List of positive integer factors of 43578 that divides 43568 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43568 and 43578. The biggest common factor number is the GCF number.
So the greatest common factor 43568 and 43578 is 2.

Also check out the Least Common Multiple of 43568 and 43578