What is the Greatest Common Factor of 28500 and 28516?

Greatest common factor (GCF) of 28500 and 28516 is 4.

GCF(28500,28516) = 4

We will now calculate the prime factors of 28500 and 28516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28500 and 28516.

How to find the GCF of 28500 and 28516?

We will first find the prime factorization of 28500 and 28516. After we will calculate the factors of 28500 and 28516 and find the biggest common factor number .

Step-1: Prime Factorization of 28500

Prime factors of 28500 are 2, 3, 5, 19. Prime factorization of 28500 in exponential form is:

28500 = 2² × 3¹ × 5³ × 19¹

Step-2: Prime Factorization of 28516

Prime factors of 28516 are 2, 7129. Prime factorization of 28516 in exponential form is:

28516 = 2² × 7129¹

Step-3: Factors of 28500

List of positive integer factors of 28500 that divides 28500 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 25, 30, 38, 50, 57, 60, 75, 76, 95, 100, 114, 125, 150, 190, 228, 250, 285, 300, 375, 380, 475, 500, 570, 750, 950, 1140, 1425, 1500, 1900, 2375, 2850, 4750, 5700, 7125, 9500, 14250

Step-4: Factors of 28516

List of positive integer factors of 28516 that divides 28500 without a remainder.

1, 2, 4, 7129, 14258

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28500 and 28516. The biggest common factor number is the GCF number.
So the greatest common factor 28500 and 28516 is 4.

Also check out the Least Common Multiple of 28500 and 28516