What is the Greatest Common Factor of 12238 and 12253?

Greatest common factor (GCF) of 12238 and 12253 is 1.

GCF(12238,12253) = 1

We will now calculate the prime factors of 12238 and 12253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12238 and 12253.

How to find the GCF of 12238 and 12253?

We will first find the prime factorization of 12238 and 12253. After we will calculate the factors of 12238 and 12253 and find the biggest common factor number .

Step-1: Prime Factorization of 12238

Prime factors of 12238 are 2, 29, 211. Prime factorization of 12238 in exponential form is:

12238 = 2¹ × 29¹ × 211¹

Step-2: Prime Factorization of 12253

Prime factors of 12253 are 12253. Prime factorization of 12253 in exponential form is:

12253 = 12253¹

Step-3: Factors of 12238

List of positive integer factors of 12238 that divides 12238 without a remainder.

1, 2, 29, 58, 211, 422, 6119

Step-4: Factors of 12253

List of positive integer factors of 12253 that divides 12238 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12238 and 12253. The biggest common factor number is the GCF number.
So the greatest common factor 12238 and 12253 is 1.

Also check out the Least Common Multiple of 12238 and 12253