What is the Greatest Common Factor of 16582 and 16592?

Greatest common factor (GCF) of 16582 and 16592 is 2.

GCF(16582,16592) = 2

We will now calculate the prime factors of 16582 and 16592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16582 and 16592.

How to find the GCF of 16582 and 16592?

We will first find the prime factorization of 16582 and 16592. After we will calculate the factors of 16582 and 16592 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 16592

Prime factors of 16592 are 2, 17, 61. Prime factorization of 16592 in exponential form is:

16592 = 2⁴ × 17¹ × 61¹

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 16592

List of positive integer factors of 16592 that divides 16582 without a remainder.

1, 2, 4, 8, 16, 17, 34, 61, 68, 122, 136, 244, 272, 488, 976, 1037, 2074, 4148, 8296

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16582 and 16592. The biggest common factor number is the GCF number.
So the greatest common factor 16582 and 16592 is 2.

Also check out the Least Common Multiple of 16582 and 16592