What is the Greatest Common Factor of 15696 and 15716?

Greatest common factor (GCF) of 15696 and 15716 is 4.

GCF(15696,15716) = 4

We will now calculate the prime factors of 15696 and 15716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15696 and 15716.

How to find the GCF of 15696 and 15716?

We will first find the prime factorization of 15696 and 15716. After we will calculate the factors of 15696 and 15716 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15716

Prime factors of 15716 are 2, 3929. Prime factorization of 15716 in exponential form is:

15716 = 2² × 3929¹

Step-3: Factors of 15696

List of positive integer factors of 15696 that divides 15696 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

Step-4: Factors of 15716

List of positive integer factors of 15716 that divides 15696 without a remainder.

1, 2, 4, 3929, 7858

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15696 and 15716. The biggest common factor number is the GCF number.
So the greatest common factor 15696 and 15716 is 4.

Also check out the Least Common Multiple of 15696 and 15716