What is the Greatest Common Factor of 43564 and 43582?

Greatest common factor (GCF) of 43564 and 43582 is 2.

GCF(43564,43582) = 2

We will now calculate the prime factors of 43564 and 43582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43564 and 43582.

How to find the GCF of 43564 and 43582?

We will first find the prime factorization of 43564 and 43582. After we will calculate the factors of 43564 and 43582 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 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 43564

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

1, 2, 4, 10891, 21782

Step-4: Factors of 43582

List of positive integer factors of 43582 that divides 43564 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 43564 and 43582. The biggest common factor number is the GCF number.
So the greatest common factor 43564 and 43582 is 2.

Also check out the Least Common Multiple of 43564 and 43582