What is the Greatest Common Factor of 28496 and 28500?

Greatest common factor (GCF) of 28496 and 28500 is 4.

GCF(28496,28500) = 4

We will now calculate the prime factors of 28496 and 28500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28496 and 28500.

How to find the GCF of 28496 and 28500?

We will first find the prime factorization of 28496 and 28500. After we will calculate the factors of 28496 and 28500 and find the biggest common factor number .

Step-1: Prime Factorization of 28496

Prime factors of 28496 are 2, 13, 137. Prime factorization of 28496 in exponential form is:

28496 = 2⁴ × 13¹ × 137¹

Step-2: 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-3: Factors of 28496

List of positive integer factors of 28496 that divides 28496 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 137, 208, 274, 548, 1096, 1781, 2192, 3562, 7124, 14248

Step-4: Factors of 28500

List of positive integer factors of 28500 that divides 28496 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28496 and 28500. The biggest common factor number is the GCF number.
So the greatest common factor 28496 and 28500 is 4.

Also check out the Least Common Multiple of 28496 and 28500