What is the Greatest Common Factor of 72090 and 72096?

Greatest common factor (GCF) of 72090 and 72096 is 6.

GCF(72090,72096) = 6

We will now calculate the prime factors of 72090 and 72096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72090 and 72096.

How to find the GCF of 72090 and 72096?

We will first find the prime factorization of 72090 and 72096. After we will calculate the factors of 72090 and 72096 and find the biggest common factor number .

Step-1: Prime Factorization of 72090

Prime factors of 72090 are 2, 3, 5, 89. Prime factorization of 72090 in exponential form is:

72090 = 2¹ × 3⁴ × 5¹ × 89¹

Step-2: 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-3: Factors of 72090

List of positive integer factors of 72090 that divides 72090 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 89, 90, 135, 162, 178, 267, 270, 405, 445, 534, 801, 810, 890, 1335, 1602, 2403, 2670, 4005, 4806, 7209, 8010, 12015, 14418, 24030, 36045

Step-4: Factors of 72096

List of positive integer factors of 72096 that divides 72090 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72090 and 72096. The biggest common factor number is the GCF number.
So the greatest common factor 72090 and 72096 is 6.

Also check out the Least Common Multiple of 72090 and 72096