What is the Greatest Common Factor of 15696 and 15708?

Greatest common factor (GCF) of 15696 and 15708 is 12.

GCF(15696,15708) = 12

We will now calculate the prime factors of 15696 and 15708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15696 and 15708.

How to find the GCF of 15696 and 15708?

We will first find the prime factorization of 15696 and 15708. After we will calculate the factors of 15696 and 15708 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 15708

Prime factors of 15708 are 2, 3, 7, 11, 17. Prime factorization of 15708 in exponential form is:

15708 = 2² × 3¹ × 7¹ × 11¹ × 17¹

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 15708

List of positive integer factors of 15708 that divides 15696 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 17, 21, 22, 28, 33, 34, 42, 44, 51, 66, 68, 77, 84, 102, 119, 132, 154, 187, 204, 231, 238, 308, 357, 374, 462, 476, 561, 714, 748, 924, 1122, 1309, 1428, 2244, 2618, 3927, 5236, 7854

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15696 and 15708. The biggest common factor number is the GCF number.
So the greatest common factor 15696 and 15708 is 12.

Also check out the Least Common Multiple of 15696 and 15708