What is the Greatest Common Factor of 12072 and 12082?

Greatest common factor (GCF) of 12072 and 12082 is 2.

GCF(12072,12082) = 2

We will now calculate the prime factors of 12072 and 12082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12072 and 12082.

How to find the GCF of 12072 and 12082?

We will first find the prime factorization of 12072 and 12082. After we will calculate the factors of 12072 and 12082 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 12082

Prime factors of 12082 are 2, 7, 863. Prime factorization of 12082 in exponential form is:

12082 = 2¹ × 7¹ × 863¹

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 12082

List of positive integer factors of 12082 that divides 12072 without a remainder.

1, 2, 7, 14, 863, 1726, 6041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12072 and 12082. The biggest common factor number is the GCF number.
So the greatest common factor 12072 and 12082 is 2.

Also check out the Least Common Multiple of 12072 and 12082