What is the Greatest Common Factor of 12200 and 12216?

Greatest common factor (GCF) of 12200 and 12216 is 8.

GCF(12200,12216) = 8

We will now calculate the prime factors of 12200 and 12216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12200 and 12216.

How to find the GCF of 12200 and 12216?

We will first find the prime factorization of 12200 and 12216. After we will calculate the factors of 12200 and 12216 and find the biggest common factor number .

Step-1: Prime Factorization of 12200

Prime factors of 12200 are 2, 5, 61. Prime factorization of 12200 in exponential form is:

12200 = 2³ × 5² × 61¹

Step-2: Prime Factorization of 12216

Prime factors of 12216 are 2, 3, 509. Prime factorization of 12216 in exponential form is:

12216 = 2³ × 3¹ × 509¹

Step-3: Factors of 12200

List of positive integer factors of 12200 that divides 12200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 61, 100, 122, 200, 244, 305, 488, 610, 1220, 1525, 2440, 3050, 6100

Step-4: Factors of 12216

List of positive integer factors of 12216 that divides 12200 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 509, 1018, 1527, 2036, 3054, 4072, 6108

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12200 and 12216. The biggest common factor number is the GCF number.
So the greatest common factor 12200 and 12216 is 8.

Also check out the Least Common Multiple of 12200 and 12216