What is the Greatest Common Factor of 12222 and 12229?

Greatest common factor (GCF) of 12222 and 12229 is 7.

GCF(12222,12229) = 7

We will now calculate the prime factors of 12222 and 12229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12222 and 12229.

How to find the GCF of 12222 and 12229?

We will first find the prime factorization of 12222 and 12229. After we will calculate the factors of 12222 and 12229 and find the biggest common factor number .

Step-1: Prime Factorization of 12222

Prime factors of 12222 are 2, 3, 7, 97. Prime factorization of 12222 in exponential form is:

12222 = 2¹ × 3² × 7¹ × 97¹

Step-2: Prime Factorization of 12229

Prime factors of 12229 are 7, 1747. Prime factorization of 12229 in exponential form is:

12229 = 7¹ × 1747¹

Step-3: Factors of 12222

List of positive integer factors of 12222 that divides 12222 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 97, 126, 194, 291, 582, 679, 873, 1358, 1746, 2037, 4074, 6111

Step-4: Factors of 12229

List of positive integer factors of 12229 that divides 12222 without a remainder.

1, 7, 1747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12222 and 12229. The biggest common factor number is the GCF number.
So the greatest common factor 12222 and 12229 is 7.

Also check out the Least Common Multiple of 12222 and 12229