What is the Greatest Common Factor of 12090 and 12097?

Greatest common factor (GCF) of 12090 and 12097 is 1.

GCF(12090,12097) = 1

We will now calculate the prime factors of 12090 and 12097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12090 and 12097.

How to find the GCF of 12090 and 12097?

We will first find the prime factorization of 12090 and 12097. After we will calculate the factors of 12090 and 12097 and find the biggest common factor number .

Step-1: Prime Factorization of 12090

Prime factors of 12090 are 2, 3, 5, 13, 31. Prime factorization of 12090 in exponential form is:

12090 = 2¹ × 3¹ × 5¹ × 13¹ × 31¹

Step-2: Prime Factorization of 12097

Prime factors of 12097 are 12097. Prime factorization of 12097 in exponential form is:

12097 = 12097¹

Step-3: Factors of 12090

List of positive integer factors of 12090 that divides 12090 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 31, 39, 62, 65, 78, 93, 130, 155, 186, 195, 310, 390, 403, 465, 806, 930, 1209, 2015, 2418, 4030, 6045

Step-4: Factors of 12097

List of positive integer factors of 12097 that divides 12090 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12090 and 12097. The biggest common factor number is the GCF number.
So the greatest common factor 12090 and 12097 is 1.

Also check out the Least Common Multiple of 12090 and 12097