What is the Greatest Common Factor of 72096 and 72112?

Greatest common factor (GCF) of 72096 and 72112 is 16.

GCF(72096,72112) = 16

We will now calculate the prime factors of 72096 and 72112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72096 and 72112.

How to find the GCF of 72096 and 72112?

We will first find the prime factorization of 72096 and 72112. After we will calculate the factors of 72096 and 72112 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 72112

Prime factors of 72112 are 2, 4507. Prime factorization of 72112 in exponential form is:

72112 = 2⁴ × 4507¹

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 72112

List of positive integer factors of 72112 that divides 72096 without a remainder.

1, 2, 4, 8, 16, 4507, 9014, 18028, 36056

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72096 and 72112. The biggest common factor number is the GCF number.
So the greatest common factor 72096 and 72112 is 16.

Also check out the Least Common Multiple of 72096 and 72112