What is the Greatest Common Factor of 15686 and 15692?

Greatest common factor (GCF) of 15686 and 15692 is 2.

GCF(15686,15692) = 2

We will now calculate the prime factors of 15686 and 15692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15686 and 15692.

How to find the GCF of 15686 and 15692?

We will first find the prime factorization of 15686 and 15692. After we will calculate the factors of 15686 and 15692 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15692

Prime factors of 15692 are 2, 3923. Prime factorization of 15692 in exponential form is:

15692 = 2² × 3923¹

Step-3: Factors of 15686

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

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

Step-4: Factors of 15692

List of positive integer factors of 15692 that divides 15686 without a remainder.

1, 2, 4, 3923, 7846

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15686 and 15692. The biggest common factor number is the GCF number.
So the greatest common factor 15686 and 15692 is 2.

Also check out the Least Common Multiple of 15686 and 15692