What is the Greatest Common Factor of 15708 and 15728?

Greatest common factor (GCF) of 15708 and 15728 is 4.

GCF(15708,15728) = 4

We will now calculate the prime factors of 15708 and 15728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15708 and 15728.

How to find the GCF of 15708 and 15728?

We will first find the prime factorization of 15708 and 15728. After we will calculate the factors of 15708 and 15728 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15728

Prime factors of 15728 are 2, 983. Prime factorization of 15728 in exponential form is:

15728 = 2⁴ × 983¹

Step-3: Factors of 15708

List of positive integer factors of 15708 that divides 15708 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

Step-4: Factors of 15728

List of positive integer factors of 15728 that divides 15708 without a remainder.

1, 2, 4, 8, 16, 983, 1966, 3932, 7864

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15708 and 15728. The biggest common factor number is the GCF number.
So the greatest common factor 15708 and 15728 is 4.

Also check out the Least Common Multiple of 15708 and 15728