What is the Greatest Common Factor of 16580 and 16586?

Greatest common factor (GCF) of 16580 and 16586 is 2.

GCF(16580,16586) = 2

We will now calculate the prime factors of 16580 and 16586, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16580 and 16586.

How to find the GCF of 16580 and 16586?

We will first find the prime factorization of 16580 and 16586. After we will calculate the factors of 16580 and 16586 and find the biggest common factor number .

Step-1: Prime Factorization of 16580

Prime factors of 16580 are 2, 5, 829. Prime factorization of 16580 in exponential form is:

16580 = 2² × 5¹ × 829¹

Step-2: Prime Factorization of 16586

Prime factors of 16586 are 2, 8293. Prime factorization of 16586 in exponential form is:

16586 = 2¹ × 8293¹

Step-3: Factors of 16580

List of positive integer factors of 16580 that divides 16580 without a remainder.

1, 2, 4, 5, 10, 20, 829, 1658, 3316, 4145, 8290

Step-4: Factors of 16586

List of positive integer factors of 16586 that divides 16580 without a remainder.

1, 2, 8293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16580 and 16586. The biggest common factor number is the GCF number.
So the greatest common factor 16580 and 16586 is 2.

Also check out the Least Common Multiple of 16580 and 16586