What is the Greatest Common Factor of 72096 and 72108?

Greatest common factor (GCF) of 72096 and 72108 is 12.

GCF(72096,72108) = 12

We will now calculate the prime factors of 72096 and 72108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72096 and 72108.

How to find the GCF of 72096 and 72108?

We will first find the prime factorization of 72096 and 72108. After we will calculate the factors of 72096 and 72108 and find the biggest common factor number .

Step-1: Prime Factorization of 72096

Prime factors of 72096 are 2, 3, 751. Prime factorization of 72096 in exponential form is:

72096 = 2⁵ × 3¹ × 751¹

Step-2: Prime Factorization of 72108

Prime factors of 72108 are 2, 3, 2003. Prime factorization of 72108 in exponential form is:

72108 = 2² × 3² × 2003¹

Step-3: Factors of 72096

List of positive integer factors of 72096 that divides 72096 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 751, 1502, 2253, 3004, 4506, 6008, 9012, 12016, 18024, 24032, 36048

Step-4: Factors of 72108

List of positive integer factors of 72108 that divides 72096 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2003, 4006, 6009, 8012, 12018, 18027, 24036, 36054

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72096 and 72108. The biggest common factor number is the GCF number.
So the greatest common factor 72096 and 72108 is 12.

Also check out the Least Common Multiple of 72096 and 72108