What is the Greatest Common Factor of 28200 and 28208?

Greatest common factor (GCF) of 28200 and 28208 is 8.

GCF(28200,28208) = 8

We will now calculate the prime factors of 28200 and 28208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28200 and 28208.

How to find the GCF of 28200 and 28208?

We will first find the prime factorization of 28200 and 28208. After we will calculate the factors of 28200 and 28208 and find the biggest common factor number .

Step-1: Prime Factorization of 28200

Prime factors of 28200 are 2, 3, 5, 47. Prime factorization of 28200 in exponential form is:

28200 = 2³ × 3¹ × 5² × 47¹

Step-2: Prime Factorization of 28208

Prime factors of 28208 are 2, 41, 43. Prime factorization of 28208 in exponential form is:

28208 = 2⁴ × 41¹ × 43¹

Step-3: Factors of 28200

List of positive integer factors of 28200 that divides 28200 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 47, 50, 60, 75, 94, 100, 120, 141, 150, 188, 200, 235, 282, 300, 376, 470, 564, 600, 705, 940, 1128, 1175, 1410, 1880, 2350, 2820, 3525, 4700, 5640, 7050, 9400, 14100

Step-4: Factors of 28208

List of positive integer factors of 28208 that divides 28200 without a remainder.

1, 2, 4, 8, 16, 41, 43, 82, 86, 164, 172, 328, 344, 656, 688, 1763, 3526, 7052, 14104

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28200 and 28208. The biggest common factor number is the GCF number.
So the greatest common factor 28200 and 28208 is 8.

Also check out the Least Common Multiple of 28200 and 28208