What is the Greatest Common Factor of 12103 and 12122?

Greatest common factor (GCF) of 12103 and 12122 is 19.

GCF(12103,12122) = 19

We will now calculate the prime factors of 12103 and 12122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12103 and 12122.

How to find the GCF of 12103 and 12122?

We will first find the prime factorization of 12103 and 12122. After we will calculate the factors of 12103 and 12122 and find the biggest common factor number .

Step-1: Prime Factorization of 12103

Prime factors of 12103 are 7, 13, 19. Prime factorization of 12103 in exponential form is:

12103 = 7² × 13¹ × 19¹

Step-2: Prime Factorization of 12122

Prime factors of 12122 are 2, 11, 19, 29. Prime factorization of 12122 in exponential form is:

12122 = 2¹ × 11¹ × 19¹ × 29¹

Step-3: Factors of 12103

List of positive integer factors of 12103 that divides 12103 without a remainder.

1, 7, 13, 19, 49, 91, 133, 247, 637, 931, 1729

Step-4: Factors of 12122

List of positive integer factors of 12122 that divides 12103 without a remainder.

1, 2, 11, 19, 22, 29, 38, 58, 209, 319, 418, 551, 638, 1102, 6061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12103 and 12122. The biggest common factor number is the GCF number.
So the greatest common factor 12103 and 12122 is 19.

Also check out the Least Common Multiple of 12103 and 12122