What is the Greatest Common Factor of 15696 and 15706?

Greatest common factor (GCF) of 15696 and 15706 is 2.

GCF(15696,15706) = 2

We will now calculate the prime factors of 15696 and 15706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15696 and 15706.

How to find the GCF of 15696 and 15706?

We will first find the prime factorization of 15696 and 15706. After we will calculate the factors of 15696 and 15706 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 15706

Prime factors of 15706 are 2, 7853. Prime factorization of 15706 in exponential form is:

15706 = 2¹ × 7853¹

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 15706

List of positive integer factors of 15706 that divides 15696 without a remainder.

1, 2, 7853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15696 and 15706. The biggest common factor number is the GCF number.
So the greatest common factor 15696 and 15706 is 2.

Also check out the Least Common Multiple of 15696 and 15706