What is the Greatest Common Factor of 12298 and 12309?

Greatest common factor (GCF) of 12298 and 12309 is 11.

GCF(12298,12309) = 11

We will now calculate the prime factors of 12298 and 12309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12298 and 12309.

How to find the GCF of 12298 and 12309?

We will first find the prime factorization of 12298 and 12309. After we will calculate the factors of 12298 and 12309 and find the biggest common factor number .

Step-1: Prime Factorization of 12298

Prime factors of 12298 are 2, 11, 13, 43. Prime factorization of 12298 in exponential form is:

12298 = 2¹ × 11¹ × 13¹ × 43¹

Step-2: Prime Factorization of 12309

Prime factors of 12309 are 3, 11, 373. Prime factorization of 12309 in exponential form is:

12309 = 3¹ × 11¹ × 373¹

Step-3: Factors of 12298

List of positive integer factors of 12298 that divides 12298 without a remainder.

1, 2, 11, 13, 22, 26, 43, 86, 143, 286, 473, 559, 946, 1118, 6149

Step-4: Factors of 12309

List of positive integer factors of 12309 that divides 12298 without a remainder.

1, 3, 11, 33, 373, 1119, 4103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12298 and 12309. The biggest common factor number is the GCF number.
So the greatest common factor 12298 and 12309 is 11.

Also check out the Least Common Multiple of 12298 and 12309