What is the Greatest Common Factor of 12200 and 12211?

Greatest common factor (GCF) of 12200 and 12211 is 1.

GCF(12200,12211) = 1

We will now calculate the prime factors of 12200 and 12211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12200 and 12211.

How to find the GCF of 12200 and 12211?

We will first find the prime factorization of 12200 and 12211. After we will calculate the factors of 12200 and 12211 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 12211

Prime factors of 12211 are 12211. Prime factorization of 12211 in exponential form is:

12211 = 12211¹

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 12211

List of positive integer factors of 12211 that divides 12200 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12200 and 12211. The biggest common factor number is the GCF number.
So the greatest common factor 12200 and 12211 is 1.

Also check out the Least Common Multiple of 12200 and 12211