What is the Greatest Common Factor of 28200 and 28205?

Greatest common factor (GCF) of 28200 and 28205 is 5.

GCF(28200,28205) = 5

We will now calculate the prime factors of 28200 and 28205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28200 and 28205.

How to find the GCF of 28200 and 28205?

We will first find the prime factorization of 28200 and 28205. After we will calculate the factors of 28200 and 28205 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 28205

Prime factors of 28205 are 5, 5641. Prime factorization of 28205 in exponential form is:

28205 = 5¹ × 5641¹

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 28205

List of positive integer factors of 28205 that divides 28200 without a remainder.

1, 5, 5641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28200 and 28205. The biggest common factor number is the GCF number.
So the greatest common factor 28200 and 28205 is 5.

Also check out the Least Common Multiple of 28200 and 28205