What is the Greatest Common Factor of 12274 and 12290?

Greatest common factor (GCF) of 12274 and 12290 is 2.

GCF(12274,12290) = 2

We will now calculate the prime factors of 12274 and 12290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12274 and 12290.

How to find the GCF of 12274 and 12290?

We will first find the prime factorization of 12274 and 12290. After we will calculate the factors of 12274 and 12290 and find the biggest common factor number .

Step-1: Prime Factorization of 12274

Prime factors of 12274 are 2, 17, 19. Prime factorization of 12274 in exponential form is:

12274 = 2¹ × 17¹ × 19²

Step-2: Prime Factorization of 12290

Prime factors of 12290 are 2, 5, 1229. Prime factorization of 12290 in exponential form is:

12290 = 2¹ × 5¹ × 1229¹

Step-3: Factors of 12274

List of positive integer factors of 12274 that divides 12274 without a remainder.

1, 2, 17, 19, 34, 38, 323, 361, 646, 722, 6137

Step-4: Factors of 12290

List of positive integer factors of 12290 that divides 12274 without a remainder.

1, 2, 5, 10, 1229, 2458, 6145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12274 and 12290. The biggest common factor number is the GCF number.
So the greatest common factor 12274 and 12290 is 2.

Also check out the Least Common Multiple of 12274 and 12290