What is the Greatest Common Factor of 28200 and 28207?

Greatest common factor (GCF) of 28200 and 28207 is 1.

GCF(28200,28207) = 1

We will now calculate the prime factors of 28200 and 28207, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28200 and 28207.

How to find the GCF of 28200 and 28207?

We will first find the prime factorization of 28200 and 28207. After we will calculate the factors of 28200 and 28207 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 28207

Prime factors of 28207 are 67, 421. Prime factorization of 28207 in exponential form is:

28207 = 67¹ × 421¹

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 28207

List of positive integer factors of 28207 that divides 28200 without a remainder.

1, 67, 421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28200 and 28207. The biggest common factor number is the GCF number.
So the greatest common factor 28200 and 28207 is 1.

Also check out the Least Common Multiple of 28200 and 28207