What is the Greatest Common Factor of 43574 and 43582?

Greatest common factor (GCF) of 43574 and 43582 is 2.

GCF(43574,43582) = 2

We will now calculate the prime factors of 43574 and 43582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43574 and 43582.

How to find the GCF of 43574 and 43582?

We will first find the prime factorization of 43574 and 43582. After we will calculate the factors of 43574 and 43582 and find the biggest common factor number .

Step-1: Prime Factorization of 43574

Prime factors of 43574 are 2, 21787. Prime factorization of 43574 in exponential form is:

43574 = 2¹ × 21787¹

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 43574

List of positive integer factors of 43574 that divides 43574 without a remainder.

1, 2, 21787

Step-4: Factors of 43582

List of positive integer factors of 43582 that divides 43574 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 43574 and 43582. The biggest common factor number is the GCF number.
So the greatest common factor 43574 and 43582 is 2.

Also check out the Least Common Multiple of 43574 and 43582