What is the Greatest Common Factor of 12055 and 12072?

Greatest common factor (GCF) of 12055 and 12072 is 1.

GCF(12055,12072) = 1

We will now calculate the prime factors of 12055 and 12072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12055 and 12072.

How to find the GCF of 12055 and 12072?

We will first find the prime factorization of 12055 and 12072. After we will calculate the factors of 12055 and 12072 and find the biggest common factor number .

Step-1: Prime Factorization of 12055

Prime factors of 12055 are 5, 2411. Prime factorization of 12055 in exponential form is:

12055 = 5¹ × 2411¹

Step-2: 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-3: Factors of 12055

List of positive integer factors of 12055 that divides 12055 without a remainder.

1, 5, 2411

Step-4: Factors of 12072

List of positive integer factors of 12072 that divides 12055 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12055 and 12072. The biggest common factor number is the GCF number.
So the greatest common factor 12055 and 12072 is 1.

Also check out the Least Common Multiple of 12055 and 12072