What is the Greatest Common Factor of 12436 and 12449?

Greatest common factor (GCF) of 12436 and 12449 is 1.

GCF(12436,12449) = 1

We will now calculate the prime factors of 12436 and 12449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12436 and 12449.

How to find the GCF of 12436 and 12449?

We will first find the prime factorization of 12436 and 12449. After we will calculate the factors of 12436 and 12449 and find the biggest common factor number .

Step-1: Prime Factorization of 12436

Prime factors of 12436 are 2, 3109. Prime factorization of 12436 in exponential form is:

12436 = 2² × 3109¹

Step-2: Prime Factorization of 12449

Prime factors of 12449 are 59, 211. Prime factorization of 12449 in exponential form is:

12449 = 59¹ × 211¹

Step-3: Factors of 12436

List of positive integer factors of 12436 that divides 12436 without a remainder.

1, 2, 4, 3109, 6218

Step-4: Factors of 12449

List of positive integer factors of 12449 that divides 12436 without a remainder.

1, 59, 211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12436 and 12449. The biggest common factor number is the GCF number.
So the greatest common factor 12436 and 12449 is 1.

Also check out the Least Common Multiple of 12436 and 12449