What is the Greatest Common Factor of 28700 and 28716?

Greatest common factor (GCF) of 28700 and 28716 is 4.

GCF(28700,28716) = 4

We will now calculate the prime factors of 28700 and 28716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28700 and 28716.

How to find the GCF of 28700 and 28716?

We will first find the prime factorization of 28700 and 28716. After we will calculate the factors of 28700 and 28716 and find the biggest common factor number .

Step-1: Prime Factorization of 28700

Prime factors of 28700 are 2, 5, 7, 41. Prime factorization of 28700 in exponential form is:

28700 = 2² × 5² × 7¹ × 41¹

Step-2: Prime Factorization of 28716

Prime factors of 28716 are 2, 3, 2393. Prime factorization of 28716 in exponential form is:

28716 = 2² × 3¹ × 2393¹

Step-3: Factors of 28700

List of positive integer factors of 28700 that divides 28700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 41, 50, 70, 82, 100, 140, 164, 175, 205, 287, 350, 410, 574, 700, 820, 1025, 1148, 1435, 2050, 2870, 4100, 5740, 7175, 14350

Step-4: Factors of 28716

List of positive integer factors of 28716 that divides 28700 without a remainder.

1, 2, 3, 4, 6, 12, 2393, 4786, 7179, 9572, 14358

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28700 and 28716. The biggest common factor number is the GCF number.
So the greatest common factor 28700 and 28716 is 4.

Also check out the Least Common Multiple of 28700 and 28716