What is the Greatest Common Factor of 15688 and 15696?

Greatest common factor (GCF) of 15688 and 15696 is 8.

GCF(15688,15696) = 8

We will now calculate the prime factors of 15688 and 15696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15688 and 15696.

How to find the GCF of 15688 and 15696?

We will first find the prime factorization of 15688 and 15696. After we will calculate the factors of 15688 and 15696 and find the biggest common factor number .

Step-1: Prime Factorization of 15688

Prime factors of 15688 are 2, 37, 53. Prime factorization of 15688 in exponential form is:

15688 = 2³ × 37¹ × 53¹

Step-2: Prime Factorization of 15696

Prime factors of 15696 are 2, 3, 109. Prime factorization of 15696 in exponential form is:

15696 = 2⁴ × 3² × 109¹

Step-3: Factors of 15688

List of positive integer factors of 15688 that divides 15688 without a remainder.

1, 2, 4, 8, 37, 53, 74, 106, 148, 212, 296, 424, 1961, 3922, 7844

Step-4: Factors of 15696

List of positive integer factors of 15696 that divides 15688 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 109, 144, 218, 327, 436, 654, 872, 981, 1308, 1744, 1962, 2616, 3924, 5232, 7848

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15688 and 15696. The biggest common factor number is the GCF number.
So the greatest common factor 15688 and 15696 is 8.

Also check out the Least Common Multiple of 15688 and 15696