What is the Greatest Common Factor of 8184 and 8200?

Greatest common factor (GCF) of 8184 and 8200 is 8.

GCF(8184,8200) = 8

We will now calculate the prime factors of 8184 and 8200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8184 and 8200.

How to find the GCF of 8184 and 8200?

We will first find the prime factorization of 8184 and 8200. After we will calculate the factors of 8184 and 8200 and find the biggest common factor number .

Step-1: Prime Factorization of 8184

Prime factors of 8184 are 2, 3, 11, 31. Prime factorization of 8184 in exponential form is:

8184 = 2³ × 3¹ × 11¹ × 31¹

Step-2: Prime Factorization of 8200

Prime factors of 8200 are 2, 5, 41. Prime factorization of 8200 in exponential form is:

8200 = 2³ × 5² × 41¹

Step-3: Factors of 8184

List of positive integer factors of 8184 that divides 8184 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 31, 33, 44, 62, 66, 88, 93, 124, 132, 186, 248, 264, 341, 372, 682, 744, 1023, 1364, 2046, 2728, 4092

Step-4: Factors of 8200

List of positive integer factors of 8200 that divides 8184 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 41, 50, 82, 100, 164, 200, 205, 328, 410, 820, 1025, 1640, 2050, 4100

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8184 and 8200. The biggest common factor number is the GCF number.
So the greatest common factor 8184 and 8200 is 8.

Also check out the Least Common Multiple of 8184 and 8200