What is the Greatest Common Factor of 28704 and 28724?

Greatest common factor (GCF) of 28704 and 28724 is 4.

GCF(28704,28724) = 4

We will now calculate the prime factors of 28704 and 28724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28704 and 28724.

How to find the GCF of 28704 and 28724?

We will first find the prime factorization of 28704 and 28724. After we will calculate the factors of 28704 and 28724 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 28724

Prime factors of 28724 are 2, 43, 167. Prime factorization of 28724 in exponential form is:

28724 = 2² × 43¹ × 167¹

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 28724

List of positive integer factors of 28724 that divides 28704 without a remainder.

1, 2, 4, 43, 86, 167, 172, 334, 668, 7181, 14362

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28704 and 28724. The biggest common factor number is the GCF number.
So the greatest common factor 28704 and 28724 is 4.

Also check out the Least Common Multiple of 28704 and 28724