What is the Greatest Common Factor of 12104 and 12122?

Greatest common factor (GCF) of 12104 and 12122 is 2.

GCF(12104,12122) = 2

We will now calculate the prime factors of 12104 and 12122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12104 and 12122.

How to find the GCF of 12104 and 12122?

We will first find the prime factorization of 12104 and 12122. After we will calculate the factors of 12104 and 12122 and find the biggest common factor number .

Step-1: Prime Factorization of 12104

Prime factors of 12104 are 2, 17, 89. Prime factorization of 12104 in exponential form is:

12104 = 2³ × 17¹ × 89¹

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 12104

List of positive integer factors of 12104 that divides 12104 without a remainder.

1, 2, 4, 8, 17, 34, 68, 89, 136, 178, 356, 712, 1513, 3026, 6052

Step-4: Factors of 12122

List of positive integer factors of 12122 that divides 12104 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 12104 and 12122. The biggest common factor number is the GCF number.
So the greatest common factor 12104 and 12122 is 2.

Also check out the Least Common Multiple of 12104 and 12122