What is the Greatest Common Factor of 28704 and 28714?

Greatest common factor (GCF) of 28704 and 28714 is 2.

GCF(28704,28714) = 2

We will now calculate the prime factors of 28704 and 28714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28704 and 28714.

How to find the GCF of 28704 and 28714?

We will first find the prime factorization of 28704 and 28714. After we will calculate the factors of 28704 and 28714 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 28714

Prime factors of 28714 are 2, 7, 293. Prime factorization of 28714 in exponential form is:

28714 = 2¹ × 7² × 293¹

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 28714

List of positive integer factors of 28714 that divides 28704 without a remainder.

1, 2, 7, 14, 49, 98, 293, 586, 2051, 4102, 14357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28704 and 28714. The biggest common factor number is the GCF number.
So the greatest common factor 28704 and 28714 is 2.

Also check out the Least Common Multiple of 28704 and 28714