What is the Greatest Common Factor of 12200 and 12215?

Greatest common factor (GCF) of 12200 and 12215 is 5.

GCF(12200,12215) = 5

We will now calculate the prime factors of 12200 and 12215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12200 and 12215.

How to find the GCF of 12200 and 12215?

We will first find the prime factorization of 12200 and 12215. After we will calculate the factors of 12200 and 12215 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 12215

Prime factors of 12215 are 5, 7, 349. Prime factorization of 12215 in exponential form is:

12215 = 5¹ × 7¹ × 349¹

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 12215

List of positive integer factors of 12215 that divides 12200 without a remainder.

1, 5, 7, 35, 349, 1745, 2443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12200 and 12215. The biggest common factor number is the GCF number.
So the greatest common factor 12200 and 12215 is 5.

Also check out the Least Common Multiple of 12200 and 12215