What is the Greatest Common Factor of 15682 and 15686?

Greatest common factor (GCF) of 15682 and 15686 is 2.

GCF(15682,15686) = 2

We will now calculate the prime factors of 15682 and 15686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15682 and 15686.

How to find the GCF of 15682 and 15686?

We will first find the prime factorization of 15682 and 15686. After we will calculate the factors of 15682 and 15686 and find the biggest common factor number .

Step-1: Prime Factorization of 15682

Prime factors of 15682 are 2, 7841. Prime factorization of 15682 in exponential form is:

15682 = 2¹ × 7841¹

Step-2: Prime Factorization of 15686

Prime factors of 15686 are 2, 11, 23, 31. Prime factorization of 15686 in exponential form is:

15686 = 2¹ × 11¹ × 23¹ × 31¹

Step-3: Factors of 15682

List of positive integer factors of 15682 that divides 15682 without a remainder.

1, 2, 7841

Step-4: Factors of 15686

List of positive integer factors of 15686 that divides 15682 without a remainder.

1, 2, 11, 22, 23, 31, 46, 62, 253, 341, 506, 682, 713, 1426, 7843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15682 and 15686. The biggest common factor number is the GCF number.
So the greatest common factor 15682 and 15686 is 2.

Also check out the Least Common Multiple of 15682 and 15686