What is the Greatest Common Factor of 28480 and 28500?

Greatest common factor (GCF) of 28480 and 28500 is 20.

GCF(28480,28500) = 20

We will now calculate the prime factors of 28480 and 28500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28480 and 28500.

How to find the GCF of 28480 and 28500?

We will first find the prime factorization of 28480 and 28500. After we will calculate the factors of 28480 and 28500 and find the biggest common factor number .

Step-1: Prime Factorization of 28480

Prime factors of 28480 are 2, 5, 89. Prime factorization of 28480 in exponential form is:

28480 = 2⁶ × 5¹ × 89¹

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 28480

List of positive integer factors of 28480 that divides 28480 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 89, 160, 178, 320, 356, 445, 712, 890, 1424, 1780, 2848, 3560, 5696, 7120, 14240

Step-4: Factors of 28500

List of positive integer factors of 28500 that divides 28480 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 28480 and 28500. The biggest common factor number is the GCF number.
So the greatest common factor 28480 and 28500 is 20.

Also check out the Least Common Multiple of 28480 and 28500