What is the Greatest Common Factor of 12077 and 12090?

Greatest common factor (GCF) of 12077 and 12090 is 13.

GCF(12077,12090) = 13

We will now calculate the prime factors of 12077 and 12090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12077 and 12090.

How to find the GCF of 12077 and 12090?

We will first find the prime factorization of 12077 and 12090. After we will calculate the factors of 12077 and 12090 and find the biggest common factor number .

Step-1: Prime Factorization of 12077

Prime factors of 12077 are 13, 929. Prime factorization of 12077 in exponential form is:

12077 = 13¹ × 929¹

Step-2: 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-3: Factors of 12077

List of positive integer factors of 12077 that divides 12077 without a remainder.

1, 13, 929

Step-4: Factors of 12090

List of positive integer factors of 12090 that divides 12077 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12077 and 12090. The biggest common factor number is the GCF number.
So the greatest common factor 12077 and 12090 is 13.

Also check out the Least Common Multiple of 12077 and 12090