What is the Greatest Common Factor of 43568 and 43582?

Greatest common factor (GCF) of 43568 and 43582 is 14.

GCF(43568,43582) = 14

We will now calculate the prime factors of 43568 and 43582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43568 and 43582.

How to find the GCF of 43568 and 43582?

We will first find the prime factorization of 43568 and 43582. After we will calculate the factors of 43568 and 43582 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 43582

Prime factors of 43582 are 2, 7, 11, 283. Prime factorization of 43582 in exponential form is:

43582 = 2¹ × 7¹ × 11¹ × 283¹

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 43582

List of positive integer factors of 43582 that divides 43568 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 283, 566, 1981, 3113, 3962, 6226, 21791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43568 and 43582. The biggest common factor number is the GCF number.
So the greatest common factor 43568 and 43582 is 14.

Also check out the Least Common Multiple of 43568 and 43582