What is the Greatest Common Factor of 28704 and 28717?

Greatest common factor (GCF) of 28704 and 28717 is 13.

GCF(28704,28717) = 13

We will now calculate the prime factors of 28704 and 28717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28704 and 28717.

How to find the GCF of 28704 and 28717?

We will first find the prime factorization of 28704 and 28717. After we will calculate the factors of 28704 and 28717 and find the biggest common factor number .

Step-1: Prime Factorization of 28704

Prime factors of 28704 are 2, 3, 13, 23. Prime factorization of 28704 in exponential form is:

28704 = 2⁵ × 3¹ × 13¹ × 23¹

Step-2: Prime Factorization of 28717

Prime factors of 28717 are 13, 47. Prime factorization of 28717 in exponential form is:

28717 = 13¹ × 47²

Step-3: Factors of 28704

List of positive integer factors of 28704 that divides 28704 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 23, 24, 26, 32, 39, 46, 48, 52, 69, 78, 92, 96, 104, 138, 156, 184, 208, 276, 299, 312, 368, 416, 552, 598, 624, 736, 897, 1104, 1196, 1248, 1794, 2208, 2392, 3588, 4784, 7176, 9568, 14352

Step-4: Factors of 28717

List of positive integer factors of 28717 that divides 28704 without a remainder.

1, 13, 47, 611, 2209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28704 and 28717. The biggest common factor number is the GCF number.
So the greatest common factor 28704 and 28717 is 13.

Also check out the Least Common Multiple of 28704 and 28717