What is the Greatest Common Factor of 28704 and 28708?

Greatest common factor (GCF) of 28704 and 28708 is 4.

GCF(28704,28708) = 4

We will now calculate the prime factors of 28704 and 28708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28704 and 28708.

How to find the GCF of 28704 and 28708?

We will first find the prime factorization of 28704 and 28708. After we will calculate the factors of 28704 and 28708 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 28708

Prime factors of 28708 are 2, 7177. Prime factorization of 28708 in exponential form is:

28708 = 2² × 7177¹

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 28708

List of positive integer factors of 28708 that divides 28704 without a remainder.

1, 2, 4, 7177, 14354

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28704 and 28708. The biggest common factor number is the GCF number.
So the greatest common factor 28704 and 28708 is 4.

Also check out the Least Common Multiple of 28704 and 28708