What is the Greatest Common Factor of 16582 and 16596?

Greatest common factor (GCF) of 16582 and 16596 is 2.

GCF(16582,16596) = 2

We will now calculate the prime factors of 16582 and 16596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16582 and 16596.

How to find the GCF of 16582 and 16596?

We will first find the prime factorization of 16582 and 16596. After we will calculate the factors of 16582 and 16596 and find the biggest common factor number .

Step-1: Prime Factorization of 16582

Prime factors of 16582 are 2, 8291. Prime factorization of 16582 in exponential form is:

16582 = 2¹ × 8291¹

Step-2: Prime Factorization of 16596

Prime factors of 16596 are 2, 3, 461. Prime factorization of 16596 in exponential form is:

16596 = 2² × 3² × 461¹

Step-3: Factors of 16582

List of positive integer factors of 16582 that divides 16582 without a remainder.

1, 2, 8291

Step-4: Factors of 16596

List of positive integer factors of 16596 that divides 16582 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 461, 922, 1383, 1844, 2766, 4149, 5532, 8298

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16582 and 16596. The biggest common factor number is the GCF number.
So the greatest common factor 16582 and 16596 is 2.

Also check out the Least Common Multiple of 16582 and 16596