What is the Greatest Common Factor of 12072 and 12090?

Greatest common factor (GCF) of 12072 and 12090 is 6.

GCF(12072,12090) = 6

We will now calculate the prime factors of 12072 and 12090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12072 and 12090.

How to find the GCF of 12072 and 12090?

We will first find the prime factorization of 12072 and 12090. After we will calculate the factors of 12072 and 12090 and find the biggest common factor number .

Step-1: Prime Factorization of 12072

Prime factors of 12072 are 2, 3, 503. Prime factorization of 12072 in exponential form is:

12072 = 2³ × 3¹ × 503¹

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 12072

List of positive integer factors of 12072 that divides 12072 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 503, 1006, 1509, 2012, 3018, 4024, 6036

Step-4: Factors of 12090

List of positive integer factors of 12090 that divides 12072 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 12072 and 12090. The biggest common factor number is the GCF number.
So the greatest common factor 12072 and 12090 is 6.

Also check out the Least Common Multiple of 12072 and 12090