What is the Greatest Common Factor of 12072 and 12083?

Greatest common factor (GCF) of 12072 and 12083 is 1.

GCF(12072,12083) = 1

We will now calculate the prime factors of 12072 and 12083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12072 and 12083.

How to find the GCF of 12072 and 12083?

We will first find the prime factorization of 12072 and 12083. After we will calculate the factors of 12072 and 12083 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 12083

Prime factors of 12083 are 43, 281. Prime factorization of 12083 in exponential form is:

12083 = 43¹ × 281¹

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 12083

List of positive integer factors of 12083 that divides 12072 without a remainder.

1, 43, 281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12072 and 12083. The biggest common factor number is the GCF number.
So the greatest common factor 12072 and 12083 is 1.

Also check out the Least Common Multiple of 12072 and 12083