What is the Greatest Common Factor of 12229 and 12236?

Greatest common factor (GCF) of 12229 and 12236 is 7.

GCF(12229,12236) = 7

We will now calculate the prime factors of 12229 and 12236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12229 and 12236.

How to find the GCF of 12229 and 12236?

We will first find the prime factorization of 12229 and 12236. After we will calculate the factors of 12229 and 12236 and find the biggest common factor number .

Step-1: Prime Factorization of 12229

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

12229 = 7¹ × 1747¹

Step-2: Prime Factorization of 12236

Prime factors of 12236 are 2, 7, 19, 23. Prime factorization of 12236 in exponential form is:

12236 = 2² × 7¹ × 19¹ × 23¹

Step-3: Factors of 12229

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

1, 7, 1747

Step-4: Factors of 12236

List of positive integer factors of 12236 that divides 12229 without a remainder.

1, 2, 4, 7, 14, 19, 23, 28, 38, 46, 76, 92, 133, 161, 266, 322, 437, 532, 644, 874, 1748, 3059, 6118

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12229 and 12236. The biggest common factor number is the GCF number.
So the greatest common factor 12229 and 12236 is 7.

Also check out the Least Common Multiple of 12229 and 12236