What is the Greatest Common Factor of 72096 and 72109?

Greatest common factor (GCF) of 72096 and 72109 is 1.

GCF(72096,72109) = 1

We will now calculate the prime factors of 72096 and 72109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72096 and 72109.

How to find the GCF of 72096 and 72109?

We will first find the prime factorization of 72096 and 72109. After we will calculate the factors of 72096 and 72109 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 72109

Prime factors of 72109 are 72109. Prime factorization of 72109 in exponential form is:

72109 = 72109¹

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 72109

List of positive integer factors of 72109 that divides 72096 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72096 and 72109. The biggest common factor number is the GCF number.
So the greatest common factor 72096 and 72109 is 1.

Also check out the Least Common Multiple of 72096 and 72109